The 152 is the second version of the 150. It's based on the same design and is they're both rated for +4.4/-1.76g. The biggest difference between them is the Lycoming O-235 engine replacing the Continental O-200.
Both airplanes came in a number of variants. The Aerobat variant of each was rated to +6/-3g due to structural improvements. It had other aerobatic features like a quick release door, four point harness and skylights. You might be able to identify them by their checkerboard paint job. Less than 4% of 150/152s were Aerobats.
"Aerobat" is a brand name specific to Cessna. You can do some amount of aerobatics in any trainer, like steep turns or a lazy eight. The FAA defines "acrobatic", which specifically excludes those maneuvers and a few more. There's an associated Aerobatic Category of aircraft.
