135563856 has 60 divisors (see below), whose sum is σ = 360101952. Its totient is φ = 43945344.

The previous prime is 135563849. The next prime is 135563867. The reversal of 135563856 is 658365531.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64681 + ... + 66743.

Almost surely, 2^135563856 is an apocalyptic number.

135563856 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 135563856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180050976).

135563856 is an abundant number, since it is smaller than the sum of its proper divisors (224538096).

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

135563856 is a wasteful number, since it uses less digits than its factorization.

135563856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2105 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 135563856 is about 11643.1892538084. The cubic root of 135563856 is about 513.7059995113.

The spelling of 135563856 in words is "one hundred thirty-five million, five hundred sixty-three thousand, eight hundred fifty-six".