First part is correct, 0.125g * 0.0417 = 0.0052125 moles of hydrogen
The next part, you have the method correct, but not the answer.
The Avogadro constant is 6.022×(10^23)
0.0052125 moles * [6.022×(10^23)] = ...
I'm sure you can type that into the calculator yourself?
And you shouldn't get 1.63 X 10^19.