135664368 has 80 divisors (see below), whose sum is σ = 406093056. Its totient is φ = 38223360.

The previous prime is 135664363. The next prime is 135664393. The reversal of 135664368 is 863466531.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135664363) 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, 21763 + ... + 27293.

Almost surely, 2^135664368 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 135664368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203046528).

135664368 is an abundant number, since it is smaller than the sum of its proper divisors (270428688).

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

135664368 is a wasteful number, since it uses less digits than its factorization.

135664368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5616 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 135664368 is about 11647.5047971658. The cubic root of 135664368 is about 513.8329282842.

The spelling of 135664368 in words is "one hundred thirty-five million, six hundred sixty-four thousand, three hundred sixty-eight".