135647136 has 120 divisors (see below), whose sum is σ = 406153440. Its totient is φ = 44399232.

The previous prime is 135647129. The next prime is 135647159. The reversal of 135647136 is 631746531.

135647136 is a `hidden beast` number, since 1 + 3 + 5 + 647 + 1 + 3 + 6 = 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 135647136.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152485 + ... + 153371.

It is an arithmetic number, because the mean of its divisors is an integer number (3384612).

Almost surely, 2^135647136 is an apocalyptic number.

135647136 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 135647136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203076720).

135647136 is an abundant number, since it is smaller than the sum of its proper divisors (270506304).

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

135647136 is an equidigital number, since it uses as much as digits as its factorization.

135647136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 951 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 135647136 is about 11646.7650444233. The cubic root of 135647136 is about 513.8111717879.

The spelling of 135647136 in words is "one hundred thirty-five million, six hundred forty-seven thousand, one hundred thirty-six".