138165 has 16 divisors (see below), whose sum is σ = 226176. Its totient is φ = 72000.

The previous prime is 138163. The next prime is 138179. The reversal of 138165 is 561831.

It is not a de Polignac number, because 138165 - 2¹ = 138163 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 840 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2¹³⁸¹⁶⁵ is an apocalyptic number.

138165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138165 is a deficient number, since it is larger than the sum of its proper divisors (88011).

138165 is a wasteful number, since it uses less digits than its factorization.

138165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its digits is 720, while the sum is 24.

The square root of 138165 is about 371.7055286110. The cubic root of 138165 is about 51.6970800242.

Adding to 138165 its reverse (561831), we get a palindrome (699996).

It can be divided in two parts, 138 and 165, that added together give a palindrome (303).

The spelling of 138165 in words is "one hundred thirty-eight thousand, one hundred sixty-five".