32 Catwoman Trophies, 352 Batman Trophies. Completed all side missions except for Riddler(Trophies out of reach because of needing a certain code and by the time you get it you can't go to the area any more) but if you beat the game I think you can run around the city in a freemode kind of deal.
Catwoman... Her missions are short but her trophies count towards yours. You need 400 trophies to find where the Riddler is hiding and if you can't find all 400 Batman ones you can find some of Catwoman's trophies to make up for the Batman ones you can't reach.