n = int(input())
div = []
for i in range(1, n+1):
	if (n*n)%i == 0:
		div.append(i)

m = len(div)
ans = set()
for i in range(m):
	for j in range(i, m):
		x, y = div[i], div[j]
		#formula: xy z^2 + xy(x+y) z - n*n = 0
		#answer: (-xy(x+y) +- sqrt(x^2y^2(x+y)^2 + 4n^2xy)) / 2xy
		if x*x*y*y*(x+y)*(x+y) + 4*n*n*x*y < 0:
			continue
		z1 = round((-x*y*(x+y) + (x*x*y*y*(x+y)*(x+y) + 4*n*n*x*y) ** 0.5) / (2*x*y))
		z2 = round((-x*y*(x+y) - (x*x*y*y*(x+y)*(x+y) + 4*n*n*x*y) ** 0.5) / (2*x*y))
		#print(x, y, z1, z2)
		if z1 > 0 and x*y*z1*(x+y+z1) == n*n:
			res = sorted([x, y, z1])
			ans.add((res[0], res[1], res[2]))
		if z2 != z1 and z2 > 0 and x*y*z2*(x+y+z2) == n*n:
			res = sorted([x, y, z2])
			ans.add((res[0], res[1], res[2]))
print(len(ans))