138123 has 12 divisors (see below), whose sum is σ = 202800. Its totient is φ = 90576.

The previous prime is 138113. The next prime is 138139. The reversal of 138123 is 321831.

138123 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 138123 - 2⁴ = 138107 is a prime.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 138096 and 138105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138113) 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, 853 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (16900).

2¹³⁸¹²³ is an apocalyptic number.

138123 is a deficient number, since it is larger than the sum of its proper divisors (64677).

138123 is a wasteful number, since it uses less digits than its factorization.

138123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 138123 is about 371.6490279820. The cubic root of 138123 is about 51.6918411253.

Adding to 138123 its reverse (321831), we get a palindrome (459954).

The spelling of 138123 in words is "one hundred thirty-eight thousand, one hundred twenty-three".