131315825047680 has 1536 divisors, whose sum is σ = 594406935682560. Its totient is φ = 26957272449024.

The previous prime is 131315825047661. The next prime is 131315825047681. The reversal of 131315825047680 is 86740528513131.

131315825047680 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 58 + 2 + 504 + 7 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131315825047681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 523510452 + ... + 523761228.

It is an arithmetic number, because the mean of its divisors is an integer number (386983682085).

Almost surely, 2^{131315825047680} is an apocalyptic number.

131315825047680 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 131315825047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297203467841280).

131315825047680 is an abundant number, since it is smaller than the sum of its proper divisors (463091110634880).

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

131315825047680 is a wasteful number, since it uses less digits than its factorization.

131315825047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250868 (or 250844 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 131315825047680 in words is "one hundred thirty-one trillion, three hundred fifteen billion, eight hundred twenty-five million, forty-seven thousand, six hundred eighty".