135664656456 has 64 divisors (see below), whose sum is σ = 388724112000. Its totient is φ = 38650249728.

The previous prime is 135664656431. The next prime is 135664656481. The reversal of 135664656456 is 654656466531.

It is an interprime number because it is at equal distance from previous prime (135664656431) and next prime (135664656481).

It is a super-2 number, since 2×135664656456² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135664656396 and 135664656405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098285 + ... + 1215548.

It is an arithmetic number, because the mean of its divisors is an integer number (6073814250).

Almost surely, 2^135664656456 is an apocalyptic number.

It is an amenable number.

135664656456 is an abundant number, since it is smaller than the sum of its proper divisors (253059455544).

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

135664656456 is a wasteful number, since it uses less digits than its factorization.

135664656456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314198 (or 2314194 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 135664656456 in words is "one hundred thirty-five billion, six hundred sixty-four million, six hundred fifty-six thousand, four hundred fifty-six".