130724400 has 120 divisors (see below), whose sum is σ = 429128784. Its totient is φ = 33996800.

The previous prime is 130724329. The next prime is 130724443. The reversal of 130724400 is 4427031.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47872 + ... + 50528.

Almost surely, 2^130724400 is an apocalyptic number.

130724400 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 130724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214564392).

130724400 is an abundant number, since it is smaller than the sum of its proper divisors (298404384).

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

130724400 is a wasteful number, since it uses less digits than its factorization.

130724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 130724400 is about 11433.4771613888. The cubic root of 130724400 is about 507.5188988893.

The spelling of 130724400 in words is "one hundred thirty million, seven hundred twenty-four thousand, four hundred".