130204800 has 384 divisors, whose sum is σ = 523627200. Its totient is φ = 31334400.

The previous prime is 130204759. The next prime is 130204843. The reversal of 130204800 is 8402031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950332 + ... + 950468.

Almost surely, 2^130204800 is an apocalyptic number.

130204800 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 130204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261813600).

130204800 is an abundant number, since it is smaller than the sum of its proper divisors (393422400).

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

130204800 is a wasteful number, since it uses less digits than its factorization.

130204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 130204800 is about 11410.7317907310. The cubic root of 130204800 is about 506.8455816276.

Adding to 130204800 its reverse (8402031), we get a palindrome (138606831).

The spelling of 130204800 in words is "one hundred thirty million, two hundred four thousand, eight hundred".