18135 has 24 divisors (see below), whose sum is σ = 34944. Its totient is φ = 8640.

The previous prime is 18133. The next prime is 18143. The reversal of 18135 is 53181.

It is a happy number.

It is not a de Polignac number, because 18135 - 2¹ = 18133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (1456).

2¹⁸¹³⁵ is an apocalyptic number.

18135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18135 is a deficient number, since it is larger than the sum of its proper divisors (16809).

18135 is a wasteful number, since it uses less digits than its factorization.

18135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 18135 is about 134.6662541248. Note that the first 3 decimals coincide. The cubic root of 18135 is about 26.2727693597.

It can be divided in two parts, 181 and 35, that added together give a cube (216 = 6³).

The spelling of 18135 in words is "eighteen thousand, one hundred thirty-five".