130816125 has 108 divisors (see below), whose sum is σ = 267835932. Its totient is φ = 61380000.

The previous prime is 130816079. The next prime is 130816141. The reversal of 130816125 is 521618031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4186116 + 126630009 = 2046^2 + 11253^2 .

It is not a de Polignac number, because 130816125 - 2⁸ = 130815869 is a prime.

It is a super-2 number, since 2×130816125² = 34225717120031250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4219860 + ... + 4219890.

Almost surely, 2^130816125 is an apocalyptic number.

130816125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130816125 is an abundant number, since it is smaller than the sum of its proper divisors (137019807).

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

130816125 is a wasteful number, since it uses less digits than its factorization.

130816125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 130816125 is about 11437.4877049114. The cubic root of 130816125 is about 507.6375742277.

The spelling of 130816125 in words is "one hundred thirty million, eight hundred sixteen thousand, one hundred twenty-five".