131765920 has 144 divisors (see below), whose sum is σ = 368559072. Its totient is φ = 44129280.

The previous prime is 131765869. The next prime is 131765947. The reversal of 131765920 is 29567131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297219 + ... + 297661.

It is an arithmetic number, because the mean of its divisors is an integer number (2559438).

Almost surely, 2^131765920 is an apocalyptic number.

131765920 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 131765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184279536).

131765920 is an abundant number, since it is smaller than the sum of its proper divisors (236793152).

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

131765920 is a wasteful number, since it uses less digits than its factorization.

131765920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 131765920 is about 11478.9337483932. The cubic root of 131765920 is about 508.8631861852.

The spelling of 131765920 in words is "one hundred thirty-one million, seven hundred sixty-five thousand, nine hundred twenty".