130557182400 has 672 divisors, whose sum is σ = 488389574400. Its totient is φ = 33915801600.

The previous prime is 130557182363. The next prime is 130557182411. The reversal of 130557182400 is 4281755031.

130557182400 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 571 + 82 + 4 + 0 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461332659 + ... + 461332941.

It is an arithmetic number, because the mean of its divisors is an integer number (726770200).

Almost surely, 2^130557182400 is an apocalyptic number.

130557182400 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 130557182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244194787200).

130557182400 is an abundant number, since it is smaller than the sum of its proper divisors (357832392000).

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

130557182400 is a wasteful number, since it uses less digits than its factorization.

130557182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 130557182400 in words is "one hundred thirty billion, five hundred fifty-seven million, one hundred eighty-two thousand, four hundred".