131584164 has 24 divisors (see below), whose sum is σ = 308007168. Its totient is φ = 43721760.

The previous prime is 131584157. The next prime is 131584169. The reversal of 131584164 is 461485131.

It is not an unprimeable number, because it can be changed into a prime (131584169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13492 + ... + 21099.

It is an arithmetic number, because the mean of its divisors is an integer number (12833632).

Almost surely, 2^131584164 is an apocalyptic number.

It is an amenable number.

131584164 is an abundant number, since it is smaller than the sum of its proper divisors (176423004).

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

131584164 is a wasteful number, since it uses less digits than its factorization.

131584164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34915 (or 34913 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 131584164 is about 11471.0140789731. The cubic root of 131584164 is about 508.6291056889.

The spelling of 131584164 in words is "one hundred thirty-one million, five hundred eighty-four thousand, one hundred sixty-four".