130815600 has 60 divisors (see below), whose sum is σ = 419049816. Its totient is φ = 34883840.

The previous prime is 130815577. The next prime is 130815611. The reversal of 130815600 is 6518031.

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

It is a super-2 number, since 2×130815600² = 34225442406720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53307 + ... + 55706.

Almost surely, 2^130815600 is an apocalyptic number.

130815600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130815600 is an abundant number, since it is smaller than the sum of its proper divisors (288234216).

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

130815600 is a wasteful number, since it uses less digits than its factorization.

130815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109034 (or 109023 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 130815600 is about 11437.4647540441. The cubic root of 130815600 is about 507.6368951318.

It can be divided in two parts, 13081 and 5600, that added together give a palindrome (18681).

The spelling of 130815600 in words is "one hundred thirty million, eight hundred fifteen thousand, six hundred".