135652968 has 80 divisors (see below), whose sum is σ = 414516960. Its totient is φ = 41104800.

The previous prime is 135652961. The next prime is 135653029. The reversal of 135652968 is 869256531.

135652968 is a `hidden beast` number, since 1 + 3 + 565 + 29 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (135652961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2388 + ... + 16643.

It is an arithmetic number, because the mean of its divisors is an integer number (5181462).

Almost surely, 2^135652968 is an apocalyptic number.

135652968 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 135652968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207258480).

135652968 is an abundant number, since it is smaller than the sum of its proper divisors (278863992).

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

135652968 is a wasteful number, since it uses less digits than its factorization.

135652968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19060 (or 19047 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135652968 is about 11647.0154116838. The cubic root of 135652968 is about 513.8185352652.

The spelling of 135652968 in words is "one hundred thirty-five million, six hundred fifty-two thousand, nine hundred sixty-eight".