165135125 has 16 divisors (see below), whose sum is σ = 208923312. Its totient is φ = 130291200.

The previous prime is 165135083. The next prime is 165135151. The reversal of 165135125 is 521531561.

It can be written as a sum of positive squares in 8 ways, for example, as 81558961 + 83576164 = 9031^2 + 9142^2 .

It is not a de Polignac number, because 165135125 - 2²⁶ = 98026261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77 + ... + 18173.

It is an arithmetic number, because the mean of its divisors is an integer number (13057707).

Almost surely, 2^165135125 is an apocalyptic number.

It is an amenable number.

165135125 is a deficient number, since it is larger than the sum of its proper divisors (43788187).

165135125 is an equidigital number, since it uses as much as digits as its factorization.

165135125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18185 (or 18175 counting only the distinct ones).

The product of its digits is 4500, while the sum is 29.

The square root of 165135125 is about 12850.4912357466. The cubic root of 165135125 is about 548.6303385286.

Adding to 165135125 its reverse (521531561), we get a palindrome (686666686).

The spelling of 165135125 in words is "one hundred sixty-five million, one hundred thirty-five thousand, one hundred twenty-five".