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136165104 = 24331718541
BaseRepresentation
bin10000001110110…
…11011011110000
3100111012220102000
420013123123300
5234324240404
621302254000
73242245545
oct1007333360
9314186360
10136165104
116a952949
1239727300
132229698a
1414126bcc
15be4a339
hex81db6f0

136165104 has 80 divisors (see below), whose sum is σ = 413857440. Its totient is φ = 42716160.

The previous prime is 136165079. The next prime is 136165163. The reversal of 136165104 is 401561631.

136165104 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 651 + 0 + 4 = 666.

136165104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 16614.

It is an arithmetic number, because the mean of its divisors is an integer number (5173218).

Almost surely, 2136165104 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 136165104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206928720).

136165104 is an abundant number, since it is smaller than the sum of its proper divisors (277692336).

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

136165104 is a wasteful number, since it uses less digits than its factorization.

136165104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18575 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 136165104 is about 11668.9804181856. The cubic root of 136165104 is about 514.4643363664.

The spelling of 136165104 in words is "one hundred thirty-six million, one hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 18541 37082 55623 74164 111246 148328 166869 222492 296656 315197 333738 444984 500607 630394 667476 889968 945591 1001214 1260788 1334952 1891182 2002428 2521576 2669904 2836773 3782364 4004856 5043152 5673546 7564728 8009712 8510319 11347092 15129456 17020638 22694184 34041276 45388368 68082552 136165104