13915125 has 128 divisors (see below), whose sum is σ = 31948800. Its totient is φ = 5832000.

The previous prime is 13915123. The next prime is 13915127. The reversal of 13915125 is 52151931.

It is an interprime number because it is at equal distance from previous prime (13915123) and next prime (13915127).

It is not a de Polignac number, because 13915125 - 2¹ = 13915123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13915125 = 45³ + 240³ = 162³ + 213³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13915123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448860 + ... + 448890.

It is an arithmetic number, because the mean of its divisors is an integer number (249600).

Almost surely, 2^13915125 is an apocalyptic number.

13915125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13915125 is an abundant number, since it is smaller than the sum of its proper divisors (18033675).

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

13915125 is a wasteful number, since it uses less digits than its factorization.

13915125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 13915125 is about 3730.2982454490. The cubic root of 13915125 is about 240.5261892605.

The spelling of 13915125 in words is "thirteen million, nine hundred fifteen thousand, one hundred twenty-five".