131537021435568 has 960 divisors, whose sum is σ = 455865618923520. Its totient is φ = 34618677350400.

The previous prime is 131537021435551. The next prime is 131537021435593. The reversal of 131537021435568 is 865534120735131.

131537021435568 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 70 + 2 + 1 + 4 + 3 + 5 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7773587748 + ... + 7773604668.

It is an arithmetic number, because the mean of its divisors is an integer number (474860019712).

Almost surely, 2^{131537021435568} is an apocalyptic number.

131537021435568 is a gapful number since it is divisible by the number (18) 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 131537021435568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227932809461760).

131537021435568 is an abundant number, since it is smaller than the sum of its proper divisors (324328597487952).

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

131537021435568 is a wasteful number, since it uses less digits than its factorization.

131537021435568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17166 (or 17157 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 131537021435568 in words is "one hundred thirty-one trillion, five hundred thirty-seven billion, twenty-one million, four hundred thirty-five thousand, five hundred sixty-eight".