135657200 has 60 divisors (see below), whose sum is σ = 372483600. Its totient is φ = 46510080.

The previous prime is 135657187. The next prime is 135657211. The reversal of 135657200 is 2756531.

135657200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21425 + ... + 27024.

It is an arithmetic number, because the mean of its divisors is an integer number (6208060).

Almost surely, 2^135657200 is an apocalyptic number.

135657200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135657200 is an abundant number, since it is smaller than the sum of its proper divisors (236826400).

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

135657200 is a wasteful number, since it uses less digits than its factorization.

135657200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48474 (or 48463 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 135657200 is about 11647.1970877117. The cubic root of 135657200 is about 513.8238784519.

The spelling of 135657200 in words is "one hundred thirty-five million, six hundred fifty-seven thousand, two hundred".