130456800 has 108 divisors (see below), whose sum is σ = 460048680. Its totient is φ = 34786560.

The previous prime is 130456789. The next prime is 130456829. The reversal of 130456800 is 8654031.

130456800 is a `hidden beast` number, since 130 + 456 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1860 + ... + 16259.

It is an arithmetic number, because the mean of its divisors is an integer number (4259710).

Almost surely, 2^130456800 is an apocalyptic number.

130456800 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 130456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230024340).

130456800 is an abundant number, since it is smaller than the sum of its proper divisors (329591880).

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

130456800 is a wasteful number, since it uses less digits than its factorization.

130456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18145 (or 18129 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130456800 is about 11421.7686896557. The cubic root of 130456800 is about 507.1723559985.

The spelling of 130456800 in words is "one hundred thirty million, four hundred fifty-six thousand, eight hundred".