133485 has 16 divisors (see below), whose sum is σ = 233280. Its totient is φ = 64640.

The previous prime is 133481. The next prime is 133493. The reversal of 133485 is 584331.

133485 = 111² + 112² + ... + 120².

It is not a de Polignac number, because 133485 - 2² = 133481 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133481) 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, 240 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

133485 is a Friedman number, since it can be written as 834+51^3, using all its digits and the basic arithmetic operations.

2¹³³⁴⁸⁵ is an apocalyptic number.

133485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133485 is a deficient number, since it is larger than the sum of its proper divisors (99795).

133485 is a wasteful number, since it uses less digits than its factorization.

133485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828.

The product of its digits is 1440, while the sum is 24.

The square root of 133485 is about 365.3559907816. The cubic root of 133485 is about 51.1066587524.

The spelling of 133485 in words is "one hundred thirty-three thousand, four hundred eighty-five".