Question 15
Find the natural numbers $m, n$ so that
$$
n \cdot (n + 1) = 3^m + s(n) + 1182,
$$
where $s(n)$ represents the sum of the digits of the positive integer $n$.
$$
n \cdot (n + 1) = 3^m + s(n) + 1182,
$$
where $s(n)$ represents the sum of the digits of the positive integer $n$.