135633 has 8 divisors (see below), whose sum is σ = 187200. Its totient is φ = 87248.

The previous prime is 135623. The next prime is 135637. The reversal of 135633 is 336531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135633 - 2⁴ = 135617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2¹³⁵⁶³³ is an apocalyptic number.

It is an amenable number.

135633 is a deficient number, since it is larger than the sum of its proper divisors (51567).

135633 is a wasteful number, since it uses less digits than its factorization.

135633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591.

The product of its digits is 810, while the sum is 21.

The square root of 135633 is about 368.2838579140. The cubic root of 135633 is about 51.3793322813.

The spelling of 135633 in words is "one hundred thirty-five thousand, six hundred thirty-three".