131465920 has 56 divisors (see below), whose sum is σ = 314297568. Its totient is φ = 52377600.

The previous prime is 131465849. The next prime is 131465927. The reversal of 131465920 is 29564131.

It is not an unprimeable number, because it can be changed into a prime (131465927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98860 + ... + 100180.

Almost surely, 2^131465920 is an apocalyptic number.

131465920 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 131465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157148784).

131465920 is an abundant number, since it is smaller than the sum of its proper divisors (182831648).

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

131465920 is a wasteful number, since it uses less digits than its factorization.

131465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 131465920 is about 11465.8588862762. The cubic root of 131465920 is about 508.4767054756.

The spelling of 131465920 in words is "one hundred thirty-one million, four hundred sixty-five thousand, nine hundred twenty".