135604656 has 120 divisors (see below), whose sum is σ = 421312320. Its totient is φ = 40368000.

The previous prime is 135604639. The next prime is 135604661. The reversal of 135604656 is 656406531.

135604656 is a `hidden beast` number, since 1 + 3 + 560 + 46 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135604656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92731 + ... + 94181.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2^135604656 is an apocalyptic number.

135604656 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 135604656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

135604656 is an abundant number, since it is smaller than the sum of its proper divisors (285707664).

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

135604656 is a wasteful number, since it uses less digits than its factorization.

135604656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 135604656 is about 11644.9412192591. The cubic root of 135604656 is about 513.7575302145.

The spelling of 135604656 in words is "one hundred thirty-five million, six hundred four thousand, six hundred fifty-six".