131272920 has 128 divisors (see below), whose sum is σ = 440510400. Its totient is φ = 34771968.

The previous prime is 131272877. The next prime is 131272943. The reversal of 131272920 is 29272131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 212452 + ... + 213068.

Almost surely, 2^131272920 is an apocalyptic number.

131272920 is a gapful number since it is divisible by the number (10) 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 131272920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220255200).

131272920 is an abundant number, since it is smaller than the sum of its proper divisors (309237480).

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

131272920 is a wasteful number, since it uses less digits than its factorization.

131272920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131272920 is about 11457.4395045315. The cubic root of 131272920 is about 508.2277586596.

The spelling of 131272920 in words is "one hundred thirty-one million, two hundred seventy-two thousand, nine hundred twenty".