#include <iostream>
#include <string>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <unordered_map>
#include <map>
#include <set>
#include <algorithm>
#include <queue>
#include <stack>
#include <functional>
#include <bitset>
#include <assert.h>
#include <unordered_map>
#include <fstream>
#include <ctime>
#include <complex>
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<char> vc;
typedef vector<string> vs;
typedef vector<bool> vb;
typedef vector<double> vd;
typedef pair<ll,ll> P;
typedef pair<int,int> pii;
typedef vector<P> vpl;
typedef tuple<ll,ll,ll> tapu;
#define rep(i,n) for(int i=0; i<(n); i++)
#define REP(i,a,b) for(int i=(a); i<(b); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int inf = 1<<30;
const ll linf = 1LL<<62;
const int MAX = 510000;
ll dy[8] = {1,-1,0,0,1,-1,1,-1};
ll dx[8] = {0,0,1,-1,1,-1,-1,1};
const double pi = acos(-1);
const double eps = 1e-7;
template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){
	if(a>b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){
	if(a<b){
		a = b; return true;
	}
	else return false;
}
template<typename T> inline void print(T &a){
    rep(i,a.size()) cout << a[i] << " ";
    cout << "\n";
}
template<typename T1,typename T2> inline void print2(T1 a, T2 b){cout << a << " " << b << "\n";}
template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){
	cout << a << " " << b << " " << c << "\n";
}
ll pcount(ll x) {return __builtin_popcountll(x);}
const int mod = 1e9 + 7;
//const int mod = 998244353;

vl divisor(ll k){
	vl c;
	for(ll i=1; i*i<=k; i++){
		if(k % i == 0){
			c.push_back(i);
			if((k / i) != i){
				c.push_back(k/i);
			}
		}
	}
	sort(c.begin(), c.end());
	return c;
}

int main(){
	ll n; cin >> n;
	ll N = n*n;
	auto div = divisor(N);
	int ans = 0;
	for(auto x : div){
		for(auto y : div){
			if(x < y || x*y > N) break;
			if(N % (x*y) != 0) continue;
			ll c = N / (x*y);
			ll b = x + y;
			ll t = b*b + 4*c;
			if(abs(sqrtl(t) - (ll)sqrtl(t)) > eps) continue;
			ll u = (ll)sqrtl(t);
			if(-b + u <= 0 || (-b + u) & 1) continue;
			ll z = (-b + u) / 2;
			if(y >= z) ans++;
		}
	}
	cout << ans << "\n";
}