135355968 has 112 divisors (see below), whose sum is σ = 434157120. Its totient is φ = 41011200.

The previous prime is 135355967. The next prime is 135355973. The reversal of 135355968 is 869553531.

135355968 is a `hidden beast` number, since 1 + 3 + 53 + 5 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (135355967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15448 + ... + 22568.

Almost surely, 2^135355968 is an apocalyptic number.

135355968 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 135355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217078560).

135355968 is an abundant number, since it is smaller than the sum of its proper divisors (298801152).

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

135355968 is a wasteful number, since it uses less digits than its factorization.

135355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153 (or 7137 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 135355968 is about 11634.2583777394. The cubic root of 135355968 is about 513.4432747410.

It can be divided in two parts, 13535 and 5968, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 135355968 in words is "one hundred thirty-five million, three hundred fifty-five thousand, nine hundred sixty-eight".