135856656 has 160 divisors (see below), whose sum is σ = 444971520. Its totient is φ = 39315456.

The previous prime is 135856603. The next prime is 135856661. The reversal of 135856656 is 656658531.

135856656 is a `hidden beast` number, since 1 + 3 + 585 + 6 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94761 + ... + 96183.

It is an arithmetic number, because the mean of its divisors is an integer number (2781072).

Almost surely, 2^135856656 is an apocalyptic number.

135856656 is a gapful number since it is divisible by the number (16) 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 135856656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222485760).

135856656 is an abundant number, since it is smaller than the sum of its proper divisors (309114864).

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

135856656 is a wasteful number, since it uses less digits than its factorization.

135856656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 135856656 is about 11655.7563461150. The cubic root of 135856656 is about 514.0755792307.

The spelling of 135856656 in words is "one hundred thirty-five million, eight hundred fifty-six thousand, six hundred fifty-six".