131130077568 has 192 divisors, whose sum is σ = 407771866800. Its totient is φ = 37226262528.

The previous prime is 131130077557. The next prime is 131130077569. The reversal of 131130077568 is 865770031131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130077569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2931918 + ... + 2976306.

Almost surely, 2^131130077568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131130077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203885933400).

131130077568 is an abundant number, since it is smaller than the sum of its proper divisors (276641789232).

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

131130077568 is a wasteful number, since it uses less digits than its factorization.

131130077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44577 (or 44558 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 131130077568 in words is "one hundred thirty-one billion, one hundred thirty million, seventy-seven thousand, five hundred sixty-eight".