Number leads to a Briggs engine, assuming typical 3-5kW chinese import style genset and 60Hz power.
Hz is heavily tied to RPM, a 2 pole genset should have a unloaded high idle around 3700-3750 for about 62hz (max) no load, right on 60.0 around 50% load (space heaters work well, know how the outlets are wired so you can balance the loads between the two 120 windings) the engine would experience connecting rod failure or valve float before it spun fast enough to make 160Hz, so this has to be the typically dirty waveform they put out confusing the meter.
I usually use a killawatt or similar for generator governor setup, no annoying auto off issues. My AN870 (only DMM I have that does frequency) also has never failed to give me a sane reading as far as I can remember, that said this isn't something I do often.
Also, remember, these things are far from perfect and absolutely not high precision machines. Don't chase a perfect reading, just get it close enough, verify the no load speed isn't too high, and confirm the governor behavior is stable when you put a big load on it. Run a good tough oil in it for reliability, I prefer 5w40 diesel truck oil. Always flip the fuel valve off and run it dry before storing.