130791548160 has 1728 divisors, whose sum is σ = 607474183680. Its totient is φ = 25197281280.

The previous prime is 130791548149. The next prime is 130791548203. The reversal of 130791548160 is 61845197031.

130791548160 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 91 + 548 + 16 + 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, 730678951 + ... + 730679129.

It is an arithmetic number, because the mean of its divisors is an integer number (351547560).

Almost surely, 2^130791548160 is an apocalyptic number.

130791548160 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 130791548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303737091840).

130791548160 is an abundant number, since it is smaller than the sum of its proper divisors (476682635520).

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

130791548160 is a wasteful number, since it uses less digits than its factorization.

130791548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 130791548160 in words is "one hundred thirty billion, seven hundred ninety-one million, five hundred forty-eight thousand, one hundred sixty".