135403200 has 126 divisors (see below), whose sum is σ = 481306124. Its totient is φ = 36103680.

The previous prime is 135403157. The next prime is 135403201. The reversal of 135403200 is 2304531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (135403201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9699 + ... + 19101.

Almost surely, 2^135403200 is an apocalyptic number.

135403200 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 135403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240653062).

135403200 is an abundant number, since it is smaller than the sum of its proper divisors (345902924).

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

135403200 is a wasteful number, since it uses less digits than its factorization.

135403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135403200 is about 11636.2880679364. The cubic root of 135403200 is about 513.5029892181.

Adding to 135403200 its reverse (2304531), we get a palindrome (137707731).

The spelling of 135403200 in words is "one hundred thirty-five million, four hundred three thousand, two hundred".