130608800 has 144 divisors (see below), whose sum is σ = 370101312. Its totient is φ = 44083200.

The previous prime is 130608799. The next prime is 130608823. The reversal of 130608800 is 8806031.

It is a self number, because there is not a number n which added to its sum of digits gives 130608800.

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, 464660 + ... + 464940.

It is an arithmetic number, because the mean of its divisors is an integer number (2570148).

Almost surely, 2^130608800 is an apocalyptic number.

130608800 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 130608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185050656).

130608800 is an abundant number, since it is smaller than the sum of its proper divisors (239492512).

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

130608800 is a wasteful number, since it uses less digits than its factorization.

130608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 130608800 is about 11428.4207132919. The cubic root of 130608800 is about 507.3692545817.

The spelling of 130608800 in words is "one hundred thirty million, six hundred eight thousand, eight hundred".