131584080 has 80 divisors (see below), whose sum is σ = 431918784. Its totient is φ = 33024000.

The previous prime is 131584073. The next prime is 131584091. The reversal of 131584080 is 80485131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12046 + ... + 20205.

Almost surely, 2^131584080 is an apocalyptic number.

131584080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131584080 is an abundant number, since it is smaller than the sum of its proper divisors (300334704).

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

131584080 is a wasteful number, since it uses less digits than its factorization.

131584080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32284 (or 32278 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 131584080 is about 11471.0104175700. The cubic root of 131584080 is about 508.6289974569.

The spelling of 131584080 in words is "one hundred thirty-one million, five hundred eighty-four thousand, eighty".