130876132320 has 960 divisors, whose sum is σ = 505825689600. Its totient is φ = 31782481920.

The previous prime is 130876132319. The next prime is 130876132327. The reversal of 130876132320 is 23231678031.

130876132320 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 7 + 613 + 2 + 32 + 0 = 666.

It is a super-2 number, since 2×130876132320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130876132327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 547598761 + ... + 547598999.

It is an arithmetic number, because the mean of its divisors is an integer number (526901760).

Almost surely, 2^130876132320 is an apocalyptic number.

130876132320 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 130876132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252912844800).

130876132320 is an abundant number, since it is smaller than the sum of its proper divisors (374949557280).

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

130876132320 is a wasteful number, since it uses less digits than its factorization.

130876132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 130876132320 in words is "one hundred thirty billion, eight hundred seventy-six million, one hundred thirty-two thousand, three hundred twenty".