130016400 has 60 divisors (see below), whose sum is σ = 416489712. Its totient is φ = 34670720.

The previous prime is 130016351. The next prime is 130016413. The reversal of 130016400 is 4610031.

130016400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130016400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52974 + ... + 55373.

Almost surely, 2^130016400 is an apocalyptic number.

130016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130016400 is an abundant number, since it is smaller than the sum of its proper divisors (286473312).

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

130016400 is a wasteful number, since it uses less digits than its factorization.

130016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108368 (or 108357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130016400 is about 11402.4734158866. The cubic root of 130016400 is about 506.6010033403.

Adding to 130016400 its reverse (4610031), we get a palindrome (134626431).

The spelling of 130016400 in words is "one hundred thirty million, sixteen thousand, four hundred".