130179861504 has 1320 divisors, whose sum is σ = 521807156640. Its totient is φ = 31531991040.

The previous prime is 130179861503. The next prime is 130179861533. The reversal of 130179861504 is 405168971031.

130179861504 is a `hidden beast` number, since 13 + 0 + 1 + 79 + 8 + 61 + 504 = 666.

It is a super-2 number, since 2×130179861504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130179861504.

It is not an unprimeable number, because it can be changed into a prime (130179861503) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1194310602 + ... + 1194310710.

It is an arithmetic number, because the mean of its divisors is an integer number (395308452).

Almost surely, 2^130179861504 is an apocalyptic number.

130179861504 is a gapful number since it is divisible by the number (14) 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 130179861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260903578320).

130179861504 is an abundant number, since it is smaller than the sum of its proper divisors (391627295136).

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

130179861504 is a wasteful number, since it uses less digits than its factorization.

130179861504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

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

The spelling of 130179861504 in words is "one hundred thirty billion, one hundred seventy-nine million, eight hundred sixty-one thousand, five hundred four".