131684632992 has 432 divisors, whose sum is σ = 420161938560. Its totient is φ = 39086530560.

The previous prime is 131684632957. The next prime is 131684632993. The reversal of 131684632992 is 299236486131.

131684632992 is a `hidden beast` number, since 1 + 31 + 68 + 463 + 2 + 9 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131684632993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 550981609 + ... + 550981847.

It is an arithmetic number, because the mean of its divisors is an integer number (972597080).

Almost surely, 2^131684632992 is an apocalyptic number.

131684632992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131684632992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210080969280).

131684632992 is an abundant number, since it is smaller than the sum of its proper divisors (288477305568).

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

131684632992 is a wasteful number, since it uses less digits than its factorization.

131684632992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 515 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 131684632992 in words is "one hundred thirty-one billion, six hundred eighty-four million, six hundred thirty-two thousand, nine hundred ninety-two".