130228800 has 168 divisors, whose sum is σ = 460345536. Its totient is φ = 32040960.

The previous prime is 130228759. The next prime is 130228817. The reversal of 130228800 is 8822031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61357 + ... + 63443.

It is an arithmetic number, because the mean of its divisors is an integer number (2740152).

Almost surely, 2^130228800 is an apocalyptic number.

130228800 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 130228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230172768).

130228800 is an abundant number, since it is smaller than the sum of its proper divisors (330116736).

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

130228800 is a wasteful number, since it uses less digits than its factorization.

130228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130228800 is about 11411.7833838537. The cubic root of 130228800 is about 506.8767211520.

The spelling of 130228800 in words is "one hundred thirty million, two hundred twenty-eight thousand, eight hundred".