135733968 has 100 divisors (see below), whose sum is σ = 395385408. Its totient is φ = 45139680.

The previous prime is 135733963. The next prime is 135733981. The reversal of 135733968 is 869337531.

135733968 is a `hidden beast` number, since 13 + 573 + 3 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135733963) 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, 314713 + ... + 315143.

Almost surely, 2^135733968 is an apocalyptic number.

135733968 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 135733968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197692704).

135733968 is an abundant number, since it is smaller than the sum of its proper divisors (259651440).

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

135733968 is an frugal number, since it uses more digits than its factorization.

135733968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 135733968 is about 11650.4921784447. The cubic root of 135733968 is about 513.9207839687.

The spelling of 135733968 in words is "one hundred thirty-five million, seven hundred thirty-three thousand, nine hundred sixty-eight".