130756832640 has 1536 divisors, whose sum is σ = 583830374400. Its totient is φ = 26276659200.

The previous prime is 130756832627. The next prime is 130756832669. The reversal of 130756832640 is 46238657031.

130756832640 is a `hidden beast` number, since 1 + 307 + 5 + 6 + 83 + 264 + 0 = 666.

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

It is a congruent number.

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, 722413350 + ... + 722413530.

It is an arithmetic number, because the mean of its divisors is an integer number (380097900).

Almost surely, 2^130756832640 is an apocalyptic number.

130756832640 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 130756832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291915187200).

130756832640 is an abundant number, since it is smaller than the sum of its proper divisors (453073541760).

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

130756832640 is a wasteful number, since it uses less digits than its factorization.

130756832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 130756832640 in words is "one hundred thirty billion, seven hundred fifty-six million, eight hundred thirty-two thousand, six hundred forty".