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135633636 = 22331518317
BaseRepresentation
bin10000001010110…
…01101011100100
3100110012220101000
420011121223210
5234210234021
621243033300
73234603225
oct1005315344
9313186330
10135633636
116a61a616
123950b830
132213bab8
141402924c
15bd92b26
hex8159ae4

135633636 has 48 divisors (see below), whose sum is σ = 354014080. Its totient is φ = 44906400.

The previous prime is 135633629. The next prime is 135633637. The reversal of 135633636 is 636336531.

135633636 is a `hidden beast` number, since 13 + 5 + 6 + 3 + 3 + 636 = 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 135633636.

It is not an unprimeable number, because it can be changed into a prime (135633637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12150 + ... + 20466.

Almost surely, 2135633636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135633636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177007040).

135633636 is an abundant number, since it is smaller than the sum of its proper divisors (218380444).

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

135633636 is a wasteful number, since it uses less digits than its factorization.

135633636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481 (or 8473 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

The square root of 135633636 is about 11646.1854699296. The cubic root of 135633636 is about 513.7941258918.

The spelling of 135633636 in words is "one hundred thirty-five million, six hundred thirty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2718 4077 5436 8154 8317 16308 16634 24951 33268 49902 74853 99804 149706 224559 299412 449118 898236 1255867 2511734 3767601 5023468 7535202 11302803 15070404 22605606 33908409 45211212 67816818 135633636