131233756644 has 81 divisors (see below), whose sum is σ = 334617151323. Its totient is φ = 43367108544.

The previous prime is 131233756607. The next prime is 131233756663. The reversal of 131233756644 is 446657332131.

The square root of 131233756644 is 362262.

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

131233756644 is a `hidden beast` number, since 1 + 3 + 12 + 3 + 37 + 566 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57528022500 + 73705734144 = 239850^2 + 271488^2 .

It is a super-2 number, since 2×131233756644² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131233756644.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376027782 + ... + 376028130.

Almost surely, 2^131233756644 is an apocalyptic number.

131233756644 is the 362262-nd square number.

It is an amenable number.

131233756644 is an abundant number, since it is smaller than the sum of its proper divisors (203383394679).

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

131233756644 is an equidigital number, since it uses as much as digits as its factorization.

131233756644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 131233756644 in words is "one hundred thirty-one billion, two hundred thirty-three million, seven hundred fifty-six thousand, six hundred forty-four".