131882256 has 225 divisors, whose sum is σ = 434527093. Its totient is φ = 38586240.

The previous prime is 131882239. The next prime is 131882263. The reversal of 131882256 is 652288131.

It is a happy number.

The square root of 131882256 is 11484.

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

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 62726400 = 8316^2 + 7920^2 .

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

Its product of digits (23040) is a multiple of the sum of its prime divisors (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131882256.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4547650 + ... + 4547678.

Almost surely, 2^131882256 is an apocalyptic number.

131882256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131882256 is the 11484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131882256

131882256 is an abundant number, since it is smaller than the sum of its proper divisors (302644837).

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

131882256 is a wasteful number, since it uses less digits than its factorization.

131882256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 45 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The cubic root of 131882256 is about 509.0129004004.

Multiplying 131882256 by its sum of digits (36), we get a square (4747761216 = 68904²).

131882256 divided by its sum of digits (36) gives a square (3663396 = 1914²).

The spelling of 131882256 in words is "one hundred thirty-one million, eight hundred eighty-two thousand, two hundred fifty-six".