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136188 = 22331397
BaseRepresentation
bin100001001111111100
320220211000
4201033330
513324223
62530300
71105023
oct411774
9226730
10136188
1193358
1266990
1349cb0
14378ba
152a543
hex213fc

136188 has 48 divisors (see below), whose sum is σ = 384160. Its totient is φ = 41472.

The previous prime is 136177. The next prime is 136189. The reversal of 136188 is 881631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136189) by changing a digit.

136188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356 + ... + 1452.

2136188 is an apocalyptic number.

136188 is a gapful number since it is divisible by the number (18) 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 136188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192080).

136188 is an abundant number, since it is smaller than the sum of its proper divisors (247972).

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

136188 is a wasteful number, since it uses less digits than its factorization.

136188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 136188 is about 369.0365835524. The cubic root of 136188 is about 51.4493170272.

Subtracting from 136188 its sum of digits (27), we obtain a square (136161 = 3692).

It can be divided in two parts, 136 and 188, that added together give a square (324 = 182).

The spelling of 136188 in words is "one hundred thirty-six thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 97 108 117 156 194 234 291 351 388 468 582 702 873 1164 1261 1404 1746 2522 2619 3492 3783 5044 5238 7566 10476 11349 15132 22698 34047 45396 68094 136188