130925008534320 has 3200 divisors, whose sum is σ = 623602736870400. Its totient is φ = 25095277025280.

The previous prime is 130925008534279. The next prime is 130925008534349. The reversal of 130925008534320 is 23435800529031.

130925008534320 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 2 + 500 + 85 + 3 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 89736125751 + ... + 89736127209.

It is an arithmetic number, because the mean of its divisors is an integer number (194875855272).

Almost surely, 2^{130925008534320} is an apocalyptic number.

130925008534320 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 130925008534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311801368435200).

130925008534320 is an abundant number, since it is smaller than the sum of its proper divisors (492677728336080).

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

130925008534320 is a wasteful number, since it uses less digits than its factorization.

130925008534320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 130925008534320 in words is "one hundred thirty trillion, nine hundred twenty-five billion, eight million, five hundred thirty-four thousand, three hundred twenty".