133185 has 16 divisors (see below), whose sum is σ = 229824. Its totient is φ = 65472.

The previous prime is 133183. The next prime is 133187. The reversal of 133185 is 581331.

It is a happy number.

133185 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (133183) and next prime (133187).

It is not a de Polignac number, because 133185 - 2¹ = 133183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133183) 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, 147 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2¹³³¹⁸⁵ is an apocalyptic number.

133185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133185 is a deficient number, since it is larger than the sum of its proper divisors (96639).

133185 is a wasteful number, since it uses less digits than its factorization.

133185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704.

The product of its digits is 360, while the sum is 21.

The square root of 133185 is about 364.9452013659. The cubic root of 133185 is about 51.0683435911.

The spelling of 133185 in words is "one hundred thirty-three thousand, one hundred eighty-five".