131582880 has 480 divisors, whose sum is σ = 553246848. Its totient is φ = 29030400.

The previous prime is 131582863. The next prime is 131582911. The reversal of 131582880 is 88285131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853245 + ... + 1853315.

Almost surely, 2^131582880 is an apocalyptic number.

131582880 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 131582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276623424).

131582880 is an abundant number, since it is smaller than the sum of its proper divisors (421663968).

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

131582880 is a wasteful number, since it uses less digits than its factorization.

131582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 131582880 is about 11470.9581116836. The cubic root of 131582880 is about 508.6274512803.

The spelling of 131582880 in words is "one hundred thirty-one million, five hundred eighty-two thousand, eight hundred eighty".