#include <bits/stdc++.h>
 
using namespace std;
 
#define DEBUG(x) cerr<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl;
#define DEBUG_MAT(v) cerr<<#v<<endl;for(int i=0;i<v.size();i++){for(int j=0;j<v[i].size();j++) {cerr<<v[i][j]<<" ";}cerr<<endl;}
typedef long long ll;
// #define int ll
 
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
#define X first
#define Y second
#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define rep1(i,n) for(int i=1;i<=(int)(n);i++)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--)
#define rrep1(i,n) for(int i=(int)(n);i>0;i--)
#define REP(i,a,b) for(int i=a;i<b;i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(),c.end()
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; }
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
#define Sp(p) cout<<setprecision(25)<< fixed<<p<<endl;
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {1, 0, -1, 0}, dy = {0, 1, 0, -1};
// vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 };
#define fio() cin.tie(0); ios::sync_with_stdio(false);
const ll MOD = 1000000007;
// const ll MOD = 998244353;
// #define mp make_pair
//#define endl '\n'

ll gcd(ll a, ll b) {
  if (b > a) {
    swap(a, b);
  }
  ll r = a%b;
  while (r != 0) {
    a = b;
    b = r;
    r = a%b;
  }
  return b;
}

ll lcm(ll a, ll b) {
  return (a / gcd(a, b))*b;
}


signed main() {
    fio();
    int N;
    cin >> N;

    ll ans = 0;
    set<vl> st;
    for (ll n = 1; n <= N; n++) {
        for (ll m = n; m <= N; m++) {
            if (m * n * (m + n) > N) break;
            if (N % (m * n * (m + n)) != 0) continue;
            ll g = gcd(m, n);
            ll mi;
            if (m * m * n % (2 * m + n) == 0) mi = m * m * n / (2 * m + n);
            else mi = mi = m * m * n / (2 * m + n) + 1;

            ll mi2 = sqrt(mi) - 2;
            while (mi2 < 0 or mi2 * mi2 < mi) mi2++;
            ll k = mi2;
            while (k * k < m * n) {
                if (gcd(g, k) != 1) {
                    k++;
                    continue;
                }
                ll a = n * (m * m + k * k);
                ll b = m * (n * n + k * k);
                ll c = (m + n) * (m*n - k*k);
                ll s = m * n * k * (m + n) * (m*n - k*k);
                if (N % s == 0) {
                    vl temp = {a, b, c};
                    sort(all(temp));
                    if (st.count(temp) == 0) {
                        st.insert(temp);
                        ans++;
                    }
                }
                k++;
            }
        }
    }
    cout << ans << endl;
}