131518080 has 320 divisors, whose sum is σ = 488743200. Its totient is φ = 33675264.

The previous prime is 131518067. The next prime is 131518097. The reversal of 131518080 is 80815131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2229091 + ... + 2229149.

Almost surely, 2^131518080 is an apocalyptic number.

131518080 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 131518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244371600).

131518080 is an abundant number, since it is smaller than the sum of its proper divisors (357225120).

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

131518080 is an equidigital number, since it uses as much as digits as its factorization.

131518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 131518080 is about 11468.1332395469. The cubic root of 131518080 is about 508.5439437837.

The spelling of 131518080 in words is "one hundred thirty-one million, five hundred eighteen thousand, eighty".