138523 has 12 divisors (see below), whose sum is σ = 176472. Its totient is φ = 107520.

The previous prime is 138517. The next prime is 138547. The reversal of 138523 is 325831.

138523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138523 - 2¹⁷ = 7451 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138494 and 138503.

It is not an unprimeable number, because it can be changed into a prime (138563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (14706).

2¹³⁸⁵²³ is an apocalyptic number.

138523 is a deficient number, since it is larger than the sum of its proper divisors (37949).

138523 is a wasteful number, since it uses less digits than its factorization.

138523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 138523 is about 372.1867810656. The cubic root of 138523 is about 51.7416923660.

The spelling of 138523 in words is "one hundred thirty-eight thousand, five hundred twenty-three".