133584 has 60 divisors (see below), whose sum is σ = 395808. Its totient is φ = 38720.

The previous prime is 133583. The next prime is 133597. The reversal of 133584 is 485331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5797 + ... + 5819.

2¹³³⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904).

133584 is an abundant number, since it is smaller than the sum of its proper divisors (262224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133584 is a wasteful number, since it uses less digits than its factorization.

133584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

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

The square root of 133584 is about 365.4914499684. The cubic root of 133584 is about 51.1192901565.

It can be divided in two parts, 133 and 584, that added together give a palindrome (717).

The spelling of 133584 in words is "one hundred thirty-three thousand, five hundred eighty-four".