130588400 has 60 divisors (see below), whose sum is σ = 316161312. Its totient is φ = 51832320.

The previous prime is 130588397. The next prime is 130588433. The reversal of 130588400 is 4885031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53609 + ... + 55991.

Almost surely, 2^130588400 is an apocalyptic number.

130588400 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 130588400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158080656).

130588400 is an abundant number, since it is smaller than the sum of its proper divisors (185572912).

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

130588400 is a wasteful number, since it uses less digits than its factorization.

130588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 130588400 is about 11427.5281666684. The cubic root of 130588400 is about 507.3428375977.

The spelling of 130588400 in words is "one hundred thirty million, five hundred eighty-eight thousand, four hundred".