135068600 has 48 divisors (see below), whose sum is σ = 320738400. Its totient is φ = 52874240.

The previous prime is 135068599. The next prime is 135068617. The reversal of 135068600 is 6860531.

135068600 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, 2216 + ... + 16584.

It is an arithmetic number, because the mean of its divisors is an integer number (6682050).

Almost surely, 2^135068600 is an apocalyptic number.

135068600 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 135068600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160369200).

135068600 is an abundant number, since it is smaller than the sum of its proper divisors (185669800).

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

135068600 is a wasteful number, since it uses less digits than its factorization.

135068600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14432 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 135068600 is about 11621.9017376675. The cubic root of 135068600 is about 513.0796614002.

The spelling of 135068600 in words is "one hundred thirty-five million, sixty-eight thousand, six hundred".