135233200 has 60 divisors (see below), whose sum is σ = 326517048. Its totient is φ = 53824000.

The previous prime is 135233183. The next prime is 135233201. The reversal of 135233200 is 2332531.

135233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (135233201) 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, 92475 + ... + 93925.

Almost surely, 2^135233200 is an apocalyptic number.

135233200 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 135233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163258524).

135233200 is an abundant number, since it is smaller than the sum of its proper divisors (191283848).

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

135233200 is a wasteful number, since it uses less digits than its factorization.

135233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 135233200 is about 11628.9810387669. The cubic root of 135233200 is about 513.2879965957.

Adding to 135233200 its reverse (2332531), we get a palindrome (137565731).

The spelling of 135233200 in words is "one hundred thirty-five million, two hundred thirty-three thousand, two hundred".