165138 has 16 divisors (see below), whose sum is σ = 349920. Its totient is φ = 51776.

The previous prime is 165133. The next prime is 165161. The reversal of 165138 is 831561.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165138.

It is not an unprimeable number, because it can be changed into a prime (165133) by changing a digit.

165138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2¹⁶⁵¹³⁸ is an apocalyptic number.

165138 is an abundant number, since it is smaller than the sum of its proper divisors (184782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165138 is a wasteful number, since it uses less digits than its factorization.

165138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641.

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

The square root of 165138 is about 406.3717509867. The cubic root of 165138 is about 54.8633522392.

Adding to 165138 its reverse (831561), we get a palindrome (996699).

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

The spelling of 165138 in words is "one hundred sixty-five thousand, one hundred thirty-eight".