def is_square(M):
    low=0
    high=M+10
    while(high-low>1):
        mid=(high+low)//2
        if mid*mid<=M:
            low=mid
        else:
            high=mid
    if low*low==M:
        return low
    else:
        return None
N=int(input())
D={N}
for i in range(1,N+1):
    if (N*N)%i==0:
        D.add(i)
ans=set()
for x in D:
    for y in D:
        '''
        xyz(x+y+z)=N*N
        xy z*z+(x+y)xy*z-N*N=0
        '''
        A=x*y
        B=(x+y)*x*y
        C=-N*N
        DD=B*B-4*A*C
        SD=is_square(DD)
        if not(SD==None):
            if (-B-SD)%(2*A)==0:
                z=(-B-SD)//(2*A)
                if z>0:
                    ans.add(tuple(sorted([x,y,z])))
            if (-B+SD)%(2*A)==0:
                z=(-B+SD)//(2*A)
                if z>0:
                    ans.add(tuple(sorted([x,y,z])))
print(len(ans))