131525415567360 has 640 divisors, whose sum is σ = 484281794339640. Its totient is φ = 34125385826304.

The previous prime is 131525415567349. The next prime is 131525415567367. The reversal of 131525415567360 is 63765514525131.

It is a happy number.

131525415567360 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 2 + 5 + 4 + 15 + 567 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124584171945984 + 6941243621376 = 11161728^2 + 2634624^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 131525415567297 and 131525415567306.

It is not an unprimeable number, because it can be changed into a prime (131525415567367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 490894552 + ... + 491162408.

Almost surely, 2^{131525415567360} is an apocalyptic number.

131525415567360 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 131525415567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242140897169820).

131525415567360 is an abundant number, since it is smaller than the sum of its proper divisors (352756378772280).

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

131525415567360 is an frugal number, since it uses more digits than its factorization.

131525415567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267941 (or 267904 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 131525415567360 in words is "one hundred thirty-one trillion, five hundred twenty-five billion, four hundred fifteen million, five hundred sixty-seven thousand, three hundred sixty".