165135205 has 16 divisors (see below), whose sum is σ = 203203584. Its totient is φ = 128770560.

The previous prime is 165135199. The next prime is 165135209. The reversal of 165135205 is 502531561.

It is not a de Polignac number, because 165135205 - 2¹⁹ = 164610917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165135209) 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, 62389 + ... + 64981.

It is an arithmetic number, because the mean of its divisors is an integer number (12700224).

Almost surely, 2^165135205 is an apocalyptic number.

It is an amenable number.

165135205 is a deficient number, since it is larger than the sum of its proper divisors (38068379).

165135205 is a wasteful number, since it uses less digits than its factorization.

165135205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 165135205 is about 12850.4943484677. The cubic root of 165135205 is about 548.6304271236.

Adding to 165135205 its reverse (502531561), we get a palindrome (667666766).

It can be divided in two parts, 1651 and 35205, that added together give a triangular number (36856 = T₂₇₁).

The spelling of 165135205 in words is "one hundred sixty-five million, one hundred thirty-five thousand, two hundred five".