130657416120 has 1536 divisors, whose sum is σ = 596058393600. Its totient is φ = 25395793920.

The previous prime is 130657416107. The next prime is 130657416247. The reversal of 130657416120 is 21614756031.

130657416120 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 574 + 1 + 61 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 801579159 + ... + 801579321.

It is an arithmetic number, because the mean of its divisors is an integer number (388058850).

Almost surely, 2^130657416120 is an apocalyptic number.

130657416120 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 130657416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298029196800).

130657416120 is an abundant number, since it is smaller than the sum of its proper divisors (465400977480).

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

130657416120 is a wasteful number, since it uses less digits than its factorization.

130657416120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 130657416120 in words is "one hundred thirty billion, six hundred fifty-seven million, four hundred sixteen thousand, one hundred twenty".