135633920 has 88 divisors (see below), whose sum is σ = 331614000. Its totient is φ = 53215232.

The previous prime is 135633919. The next prime is 135633931. The reversal of 135633920 is 29336531.

135633920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301856 + ... + 302304.

Almost surely, 2^135633920 is an apocalyptic number.

135633920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165807000).

135633920 is an abundant number, since it is smaller than the sum of its proper divisors (195980080).

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

135633920 is an equidigital number, since it uses as much as digits as its factorization.

135633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 135633920 is about 11646.1976627567. The cubic root of 135633920 is about 513.7944844986.

The spelling of 135633920 in words is "one hundred thirty-five million, six hundred thirty-three thousand, nine hundred twenty".