If your Troy-Bilt zero turn lawn mower was overfilled with oil there will most likely be lots of gray smoke and engine problems. If this happens, drain the oil down to the proper oil level, clean or replace the air filter, and clean the spark plug off. Once the excess oil that is in the carburetor fully burns out the smoke will stop and the engine should run properly.
The model and serial numbers on your Troy-Bilt zero-turn mower can be found on the frame of the mower.
NOTE: if you need a part for the small engine in your Troy-Bilt zero-turn mower, there will be a separate model/serial number for the engine. Here are the small engines that are available in your Troy-Bilt mower. Visit the page of the engine you have to find out where the model/serial number is located for your small engine model: