131904460 has 48 divisors (see below), whose sum is σ = 292773600. Its totient is φ = 49780224.

The previous prime is 131904433. The next prime is 131904469. The reversal of 131904460 is 64409131.

It is not an unprimeable number, because it can be changed into a prime (131904469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118386 + ... + 119494.

It is an arithmetic number, because the mean of its divisors is an integer number (6099450).

Almost surely, 2^131904460 is an apocalyptic number.

131904460 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 131904460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146386800).

131904460 is an abundant number, since it is smaller than the sum of its proper divisors (160869140).

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

131904460 is a wasteful number, since it uses less digits than its factorization.

131904460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 131904460 is about 11484.9666956417. The cubic root of 131904460 is about 509.0414649916.

The spelling of 131904460 in words is "one hundred thirty-one million, nine hundred four thousand, four hundred sixty".