125137523 has 24 divisors (see below), whose sum is σ = 152545680. Its totient is φ = 102217920.

The previous prime is 125137511. The next prime is 125137531. The reversal of 125137523 is 325731521.

It is not a de Polignac number, because 125137523 - 2¹⁶ = 125071987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125137583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117413 + ... + 118473.

It is an arithmetic number, because the mean of its divisors is an integer number (6356070).

Almost surely, 2^125137523 is an apocalyptic number.

125137523 is a deficient number, since it is larger than the sum of its proper divisors (27408157).

125137523 is a wasteful number, since it uses less digits than its factorization.

125137523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1180 counting only the distinct ones).

The product of its digits is 6300, while the sum is 29.

The square root of 125137523 is about 11186.4884123661. The cubic root of 125137523 is about 500.1832967964.

The spelling of 125137523 in words is "one hundred twenty-five million, one hundred thirty-seven thousand, five hundred twenty-three".