compatibility?? iphone android pc etc

I have not tried it on apple products. But I use on Android Tablet/Phone. Once paired, it stays connected. It's little tight on my big head. Otherwise, its does its job.

Does these allow for private TV listening if the TV has a Roku stick in the USB port?

First these are Bluetooth so you must have a Bluetooth enabled TV. Unless the Roku has Bluetooth availablility. So to answer you question yes you can as long as your TV/Roku meet the requirements.

Will these work with a PS4 natively with no add'l hardware needed?

yes, they will as long as your ps4 has built-in Bluetooth. Just pair the headphones with your ps4 and it should work just fine. Just make sure they're paired with one another

Do these work with a desktop computer?

If your desktop PC has a Bluetooth transmitter, yes. There are no 3.5mm or usb audio inputs for these. The USB cable shown is only for recharging. I do use these a lot. They hold a pretty good charge, they are just on-ear, not over ear, which I prefer. the sound is good. For the price, a great entry level Bluetooth-only headphones set if you are looking for an alternative to the little in-ear thingies most cell phones come with

Does it come with a bluetooth receiver?

It is in the head phone; it does not come separately. No problem connected to the cell phone; just turn on bluetooth on your cell to connect.

The mic is right next to the power button.You will see a small hole that is the mic.

Philips SHB3075BK BASS+ Wireless Bluetooth On-Ear Headphones

Philips SHB3075BK BASS+ Wireless Bluetooth On-Ear Headphones with Mic - Black

Bluetooth Wireless
32 mm Drivers
Bass Plus
Great Isolation for Better Listening Experience
Adjustable Ear-Shells and Headband for Comfort
Control Calls, Music and Volume with Ear-Shell Switches
Flat Folding Design for Portability
Convenient Hands-Free Calling
Rechargeable Battery for up to 12 hours Play Time

Philips SHB3075BK

Philips BASS+ headphones are equipped with 32mm drivers to produce punchy, powerful bass. Wear them all day to comfortably enjoy music or answer hands-free calls via Bluetooth connection. 12-hour playtime and flat-folding design make it perfect for road warriors.

BASS+, untethered

Big, bold bass

This is big, powerful bass that lets you really feel the beat. Don't let the sleek design fool you—specially tuned drivers and bass vents produce ultra-low end frequencies to create a unique BASS+ sound signature.

32 mm drivers

BASS+ headphones feature 32mm speaker drivers that produce big, pumping bass.

12-hour playtime

With up to 12 hours of playtime, you'll have enough power to keep your music going all day.

Bluetooth connectivity

Easily pair your headphones with any Bluetooth device for wireless music.

More than just great sound

Hands-free calls

Convenient hands-free calling with mic and Bluetooth 4.1.

Soft cushions

Soft, breathable ear cushions provide great comfort over long listening sessions.

Adjustable fit

Designed for optimal fit, BASS+ headphones feature swiveling earshells and an adjustable headband to ensure a great fit for all wearers.

Flat folding

With their flat folding design, BASS+ headphones are easy to fold and store away, making them your ideal travel companion.

Brand	PHILIPS
Series	BASS+
Model	SHB3075BK

Type	On-Ear
Color	Black
Driver Unit	32mm
Frequency Response	9Hz-21KHz
Input Impedance	32 ohms
Power Supply	Maximum power input: 40 mW
Sensitivity	103 dB/mW
Wireless Type	Bluetooth 4.1
Operating Time	Standby time: 166 hrs Talk time: 12 hrs Music playtime: 12 hrs
Distance	Maximum range: Up to 10m