131606784 has 81 divisors (see below), whose sum is σ = 381049123. Its totient is φ = 43685376.

The previous prime is 131606779. The next prime is 131606801. The reversal of 131606784 is 487606131.

The square root of 131606784 is 11472.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 550537 + ... + 550775.

Almost surely, 2^131606784 is an apocalyptic number.

131606784 is the 11472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131606784

131606784 is an abundant number, since it is smaller than the sum of its proper divisors (249442339).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131606784 is an frugal number, since it uses more digits than its factorization.

131606784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 131606784 is about 508.6582493457.

Multiplying 131606784 by its sum of digits (36), we get a square (4737844224 = 68832²).

131606784 divided by its sum of digits (36) gives a square (3655744 = 1912²).

The spelling of 131606784 in words is "one hundred thirty-one million, six hundred six thousand, seven hundred eighty-four".