130588800 has 192 divisors, whose sum is σ = 439138560. Its totient is φ = 34099200.

The previous prime is 130588699. The next prime is 130588831. The reversal of 130588800 is 8885031.

It is a tau number, because it is divible by the number of its divisors (192).

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, 585489 + ... + 585711.

It is an arithmetic number, because the mean of its divisors is an integer number (2287180).

Almost surely, 2^130588800 is an apocalyptic number.

130588800 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 130588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219569280).

130588800 is an abundant number, since it is smaller than the sum of its proper divisors (308549760).

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

130588800 is a wasteful number, since it uses less digits than its factorization.

130588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 130588800 is about 11427.5456682527. The cubic root of 130588800 is about 507.3433556043.

The spelling of 130588800 in words is "one hundred thirty million, five hundred eighty-eight thousand, eight hundred".