Best way to control 130 - 140 LEDS with Arduino Uno 32/64 bit led drivers?
There is actually at least one 132-LED driver IC, the AS1130 132 LED driver with PWM ($2.99). This precisely matches your application requirement at least on the LED count. 

AMS has a versatile set of LED drivers: For instance their 144 LED driver (AS1119) with its integrated charge pump for driving LEDs from a power rail lower than the forward voltage of your LED, might be of interest for your application. 

To answer your specific questions: 


Yes, AMS has both 32 channel and 64 channel constant-current LED drivers, besides the 132 channel and 144 channel ones. You won't even need current limiting resistors with such parts.
Other vendors appear to top off at 48-channel LED drivers, e.g. the Linear Tech LT8500, from a cursory search. 
You can buy the AMS parts mentioned above from their web site, on the LED drivers page. Also, they have a generous sampling program, so you could try that route for your initial experiments.




The challenge you might face is on ready-to-use library support on your microcontroller or platform of choice, for the various LED drivers. 

For this reason, my go-to part for similar requirements has been the merely 16-channel Texas Instruments TLC5940, in cascaded arrays, simply because libraries and general public-friendly write-ups exist on the web for it, for almost any microcontroller platform I have wanted to use with them - including for the Arduino platform.