Search a number
-
+
136137564 = 22331774149
BaseRepresentation
bin10000001110101…
…00101101011100
3100111011111122000
420013110231130
5234322400224
621301522300
73242102343
oct1007245534
9314144560
10136137564
116a934192
1239713390
1322287294
141411ab5a
15be420c9
hex81d4b5c

136137564 has 48 divisors (see below), whose sum is σ = 373716000. Its totient is φ = 42709248.

The previous prime is 136137563. The next prime is 136137569. The reversal of 136137564 is 465731631.

136137564 is a `hidden beast` number, since 1 + 3 + 61 + 37 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136137563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35239 + ... + 38910.

It is an arithmetic number, because the mean of its divisors is an integer number (7785750).

Almost surely, 2136137564 is an apocalyptic number.

It is an amenable number.

136137564 is an abundant number, since it is smaller than the sum of its proper divisors (237578436).

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

136137564 is a wasteful number, since it uses less digits than its factorization.

136137564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74179 (or 74171 counting only the distinct ones).

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

The square root of 136137564 is about 11667.8003068273. The cubic root of 136137564 is about 514.4296497917.

The spelling of 136137564 in words is "one hundred thirty-six million, one hundred thirty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 74149 148298 222447 296596 444894 667341 889788 1260533 1334682 2002023 2521066 2669364 3781599 4004046 5042132 7563198 8008092 11344797 15126396 22689594 34034391 45379188 68068782 136137564