165135 has 16 divisors (see below), whose sum is σ = 269280. Its totient is φ = 86400.

The previous prime is 165133. The next prime is 165161. The reversal of 165135 is 531561.

It is a happy number.

It is not a de Polignac number, because 165135 - 2¹ = 165133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165133) 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, 1461 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2¹⁶⁵¹³⁵ is an apocalyptic number.

165135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165135 is a deficient number, since it is larger than the sum of its proper divisors (104145).

165135 is a wasteful number, since it uses less digits than its factorization.

165135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its digits is 450, while the sum is 21.

The square root of 165135 is about 406.3680597685. The cubic root of 165135 is about 54.8630200099.

Adding to 165135 its reverse (531561), we get a palindrome (696696).

It can be divided in two parts, 165 and 135, that added together give a triangular number (300 = T₂₄).

The spelling of 165135 in words is "one hundred sixty-five thousand, one hundred thirty-five".