135396768 has 192 divisors, whose sum is σ = 411505920. Its totient is φ = 38658048.

The previous prime is 135396763. The next prime is 135396773. The reversal of 135396768 is 867693531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135396763) and next prime (135396773).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (135396763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521268 + ... + 1521356.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^135396768 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 135396768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

135396768 is an abundant number, since it is smaller than the sum of its proper divisors (276109152).

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

135396768 is a wasteful number, since it uses less digits than its factorization.

135396768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 135396768 is about 11636.0116878594. The cubic root of 135396768 is about 513.4948581854.

The spelling of 135396768 in words is "one hundred thirty-five million, three hundred ninety-six thousand, seven hundred sixty-eight".