135285 has 16 divisors (see below), whose sum is σ = 224640. Its totient is φ = 69440.

The previous prime is 135283. The next prime is 135301. The reversal of 135285 is 582531.

It is not a de Polignac number, because 135285 - 2¹ = 135283 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

135285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹³⁵²⁸⁵ is an apocalyptic number.

135285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135285 is a deficient number, since it is larger than the sum of its proper divisors (89355).

135285 is a wasteful number, since it uses less digits than its factorization.

135285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its digits is 1200, while the sum is 24.

The square root of 135285 is about 367.8110928180. The cubic root of 135285 is about 51.3353525189.

The spelling of 135285 in words is "one hundred thirty-five thousand, two hundred eighty-five".