135789768 has 48 divisors (see below), whose sum is σ = 375598080. Its totient is φ = 44299104.

The previous prime is 135789737. The next prime is 135789779. The reversal of 135789768 is 867987531.

135789768 is a `hidden beast` number, since 1 + 3 + 578 + 9 + 7 + 68 = 666.

135789768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135789768² = 36877722186987648, which contains 22 as substring.

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, 16680 + ... + 23447.

It is an arithmetic number, because the mean of its divisors is an integer number (7824960).

Almost surely, 2^135789768 is an apocalyptic number.

135789768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135789768 is an abundant number, since it is smaller than the sum of its proper divisors (239808312).

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

135789768 is a wasteful number, since it uses less digits than its factorization.

135789768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40186 (or 40179 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 135789768 is about 11652.8866809903. The cubic root of 135789768 is about 513.9911983030.

It can be divided in two parts, 1357 and 89768, that added together give a cube (91125 = 45³).

The spelling of 135789768 in words is "one hundred thirty-five million, seven hundred eighty-nine thousand, seven hundred sixty-eight".