135474768 has 400 divisors, whose sum is σ = 499093056. Its totient is φ = 34836480.

The previous prime is 135474739. The next prime is 135474791. The reversal of 135474768 is 867474531.

135474768 is a `hidden beast` number, since 1 + 3 + 547 + 47 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3150555 + ... + 3150597.

Almost surely, 2^135474768 is an apocalyptic number.

135474768 is a gapful number since it is divisible by the number (18) 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 135474768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249546528).

135474768 is an abundant number, since it is smaller than the sum of its proper divisors (363618288).

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

135474768 is a wasteful number, since it uses less digits than its factorization.

135474768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 135474768 is about 11639.3628691608. The cubic root of 135474768 is about 513.5934447587.

The spelling of 135474768 in words is "one hundred thirty-five million, four hundred seventy-four thousand, seven hundred sixty-eight".