131258880 has 240 divisors, whose sum is σ = 473657184. Its totient is φ = 34836480.

The previous prime is 131258863. The next prime is 131258903. The reversal of 131258880 is 88852131.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 621975 + ... + 622185.

Almost surely, 2^131258880 is an apocalyptic number.

131258880 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 131258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236828592).

131258880 is an abundant number, since it is smaller than the sum of its proper divisors (342398304).

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

131258880 is an frugal number, since it uses more digits than its factorization.

131258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

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

The square root of 131258880 is about 11456.8267858077. The cubic root of 131258880 is about 508.2096392279.

The spelling of 131258880 in words is "one hundred thirty-one million, two hundred fifty-eight thousand, eight hundred eighty".