135584 has 24 divisors (see below), whose sum is σ = 282240. Its totient is φ = 63936.

The previous prime is 135581. The next prime is 135589. The reversal of 135584 is 485531.

It is not an unprimeable number, because it can be changed into a prime (135581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 497 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹³⁵⁵⁸⁴ 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 135584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

135584 is an abundant number, since it is smaller than the sum of its proper divisors (146656).

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

135584 is a wasteful number, since it uses less digits than its factorization.

135584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 135584 is about 368.2173271317. The cubic root of 135584 is about 51.3731442825.

The spelling of 135584 in words is "one hundred thirty-five thousand, five hundred eighty-four".