135055200 has 144 divisors (see below), whose sum is σ = 502467840. Its totient is φ = 30865920.

The previous prime is 135055187. The next prime is 135055201. The reversal of 135055200 is 2550531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135055201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12781 + ... + 20819.

It is an arithmetic number, because the mean of its divisors is an integer number (3489360).

Almost surely, 2^135055200 is an apocalyptic number.

135055200 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 135055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251233920).

135055200 is an abundant number, since it is smaller than the sum of its proper divisors (367412640).

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

135055200 is a wasteful number, since it uses less digits than its factorization.

135055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8069 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 135055200 is about 11621.3252256358. The cubic root of 135055200 is about 513.0626934920.

The spelling of 135055200 in words is "one hundred thirty-five million, fifty-five thousand, two hundred".