135696768 has 64 divisors (see below), whose sum is σ = 361916400. Its totient is φ = 45047808.

The previous prime is 135696767. The next prime is 135696809. The reversal of 135696768 is 867696531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×135696768² = 36827225691291648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135696768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135696761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119628 + ... + 120756.

Almost surely, 2^135696768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180958200).

135696768 is an abundant number, since it is smaller than the sum of its proper divisors (226219632).

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

135696768 is a wasteful number, since it uses less digits than its factorization.

135696768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1447 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 135696768 is about 11648.8955699671. The cubic root of 135696768 is about 513.8738303573.

The spelling of 135696768 in words is "one hundred thirty-five million, six hundred ninety-six thousand, seven hundred sixty-eight".