135805968 has 30 divisors (see below), whose sum is σ = 380068494. Its totient is φ = 45268608.

The previous prime is 135805937. The next prime is 135805987. The reversal of 135805968 is 869508531.

135805968 is a `hidden beast` number, since 1 + 3 + 58 + 0 + 596 + 8 = 666.

135805968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135769104 + 36864 = 11652^2 + 192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 471405 + ... + 471692.

Almost surely, 2^135805968 is an apocalyptic number.

135805968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135805968 is an abundant number, since it is smaller than the sum of its proper divisors (244262526).

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

135805968 is a wasteful number, since it uses less digits than its factorization.

135805968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943111 (or 943102 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 135805968 is about 11653.5817669934. The cubic root of 135805968 is about 514.0116375610.

The spelling of 135805968 in words is "one hundred thirty-five million, eight hundred five thousand, nine hundred sixty-eight".