138164 has 12 divisors (see below), whose sum is σ = 260484. Its totient is φ = 63744.

The previous prime is 138163. The next prime is 138179. The reversal of 138164 is 461831.

138164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52900 + 85264 = 230^2 + 292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277 + ... + 1380.

It is an arithmetic number, because the mean of its divisors is an integer number (21707).

2¹³⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

138164 is a deficient number, since it is larger than the sum of its proper divisors (122320).

138164 is a wasteful number, since it uses less digits than its factorization.

138164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2672 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 138164 is about 371.7041834578. The cubic root of 138164 is about 51.6969553008.

Adding to 138164 its reverse (461831), we get a palindrome (599995).

The spelling of 138164 in words is "one hundred thirty-eight thousand, one hundred sixty-four".