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#Mathematica, 39 bytes
Count[Union@@FactorInteger@#,_?PrimeQ]&
Try it online!
thanks to Martin Ender (-11 bytes)
#Mathematica, 4639 bytes
Tr[1^Union@Cases[FactorInteger@#Count[Union@@FactorInteger@#,_?PrimeQ,2]]&PrimeQ]&
Try it online!Try it online!
thanks to Martin Ender (-411 bytes @JungHwan Min)
#Mathematica, 46 bytes
Tr[1^Union@Cases[FactorInteger@#,_?PrimeQ,2]]&
-4 bytes @JungHwan Min
#Mathematica, 5046 bytes
Tr[1^Select[Union[Join@@FactorInteger@#]Tr[1^Union@Cases[FactorInteger@#,PrimeQ]]&_?PrimeQ,2]]&
#Mathematica, 50 bytes
Tr[1^Select[Union[Join@@FactorInteger@#],PrimeQ]]&
