189135 has 20 divisors (see below), whose sum is σ = 339768. Its totient is φ = 100656.

The previous prime is 189127. The next prime is 189139. The reversal of 189135 is 531981.

It is not a de Polignac number, because 189135 - 2³ = 189127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

189135 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 189099 and 189108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172 + ... + 638.

2¹⁸⁹¹³⁵ is an apocalyptic number.

189135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

189135 is a deficient number, since it is larger than the sum of its proper divisors (150633).

189135 is an equidigital number, since it uses as much as digits as its factorization.

189135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 189135 is about 434.8965394206. The cubic root of 189135 is about 57.4015960253.

It can be divided in two parts, 189 and 135, that added together give a square (324 = 18²).

The spelling of 189135 in words is "one hundred eighty-nine thousand, one hundred thirty-five".