138105165 has 24 divisors (see below), whose sum is σ = 242885664. Its totient is φ = 66959200.

The previous prime is 138105151. The next prime is 138105169. The reversal of 138105165 is 561501831.

It is not a de Polignac number, because 138105165 - 2⁶ = 138105101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138105169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36231 + ... + 39860.

It is an arithmetic number, because the mean of its divisors is an integer number (10120236).

Almost surely, 2^138105165 is an apocalyptic number.

138105165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138105165 is a deficient number, since it is larger than the sum of its proper divisors (104780499).

138105165 is a wasteful number, since it uses less digits than its factorization.

138105165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76121 (or 76110 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 138105165 is about 11751.8153916746. The cubic root of 138105165 is about 516.8961614302.

Adding to 138105165 its reverse (561501831), we get a palindrome (699606996).

The spelling of 138105165 in words is "one hundred thirty-eight million, one hundred five thousand, one hundred sixty-five".