Question 138
For a positive integer $n$, denote by $\tau(n)$ the number of positive integer divisors of $n$, and denote by $\phi(n)$ the number of positive integers that are less than or equal to $n$ and relatively prime to $n$. Call a positive integer $n$ good if $\varphi(n)+4 \tau(n)=n$. For example, the number $44$ is good because $\varphi(44)+4 \tau(44)=44$.
Find the sum of all good positive integers $n$.
Find the sum of all good positive integers $n$.