144 moons.  There are a lot of moons in our Solar System…as noted here:

 Mercury         0 

Venus            0 

 Earth            1 

 Mars             2 

 Jupiter       49    Moons with official names…many more are numbered

 Saturn        52 

 Uranus       27 

 Neptune    13

Total              144   …and counting

 There will  likely be more moons discovered around the Planets in the near future.