135895968 has 240 divisors, whose sum is σ = 446097960. Its totient is φ = 40310784.

The previous prime is 135895913. The next prime is 135895987. The reversal of 135895968 is 869598531.

It is a happy number.

135895968 is a `hidden beast` number, since 1 + 3 + 589 + 59 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126967824 + 8928144 = 11268^2 + 2988^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1246698 + ... + 1246806.

Almost surely, 2^135895968 is an apocalyptic number.

135895968 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 135895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223048980).

135895968 is an abundant number, since it is smaller than the sum of its proper divisors (310201992).

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

135895968 is a wasteful number, since it uses less digits than its factorization.

135895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 135895968 is about 11657.4426011883. The cubic root of 135895968 is about 514.1251594054.

The spelling of 135895968 in words is "one hundred thirty-five million, eight hundred ninety-five thousand, nine hundred sixty-eight".