131972896 has 48 divisors (see below), whose sum is σ = 295783488. Its totient is φ = 57376000.

The previous prime is 131972843. The next prime is 131972903. The reversal of 131972896 is 698279131.

It is a happy number.

131972896 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 16246.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2^131972896 is an apocalyptic number.

131972896 is a gapful number since it is divisible by the number (16) 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 131972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744).

131972896 is an abundant number, since it is smaller than the sum of its proper divisors (163810592).

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

131972896 is a wasteful number, since it uses less digits than its factorization.

131972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16345 (or 16337 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 131972896 is about 11487.9456823228. The cubic root of 131972896 is about 509.1294851102.

The spelling of 131972896 in words is "one hundred thirty-one million, nine hundred seventy-two thousand, eight hundred ninety-six".