It's about a 99.99% chance that is a PSC (Permanent Split Capacitor) type motor, as evidenced by the lack of an external capacitor. Not at all uncommon for something in a sealed oil-filled can like those mixers are. PSC motors have lower than typical LRC and thereby, lower than typical starting torque. That's what makes them basically only suitable for variable torque applications like fans and pumps (these mixers are similar to under water fans, same type of load profile).
Breakers are designed to allow for motor starting current, usually equivalent to the LRC, because their instantaneous trips will not kick in until the current is 10x the rating of the breaker. So for a 15A breaker, that's going to be 150A. You will never get close.
Side note, it's a good idea to use a GFCI breaker in case there is an oil leak in the can. And if you are using this mixer to prevent freezing, power a Normally Closed Relay from that breaker that goes to an alarm that is powered from a separate circuit so that if the breaker trips, you know it did, that gives you a warning that your tank may freeze up on you.