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136229856 = 2537375479
BaseRepresentation
bin10000001111010…
…11001111100000
3100111100012020020
420013223033200
5234333323411
621303513440
73242635410
oct1007531740
9314305206
10136229856
116a997564
1239758880
13222ba2a9
1414142640
15be5e606
hex81eb3e0

136229856 has 96 divisors (see below), whose sum is σ = 419811840. Its totient is φ = 37863936.

The previous prime is 136229843. The next prime is 136229881. The reversal of 136229856 is 658922631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 22125 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (4373040).

Almost surely, 2136229856 is an apocalyptic number.

136229856 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 136229856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209905920).

136229856 is an abundant number, since it is smaller than the sum of its proper divisors (283581984).

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

136229856 is a wasteful number, since it uses less digits than its factorization.

136229856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 5528 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 136229856 is about 11671.7546238773. The cubic root of 136229856 is about 514.5458729584.

The spelling of 136229856 in words is "one hundred thirty-six million, two hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 5479 6216 8288 10958 12432 16437 21916 24864 32874 38353 43832 65748 76706 87664 115059 131496 153412 175328 202723 230118 262992 306824 405446 460236 525984 608169 613648 810892 920472 1216338 1227296 1419061 1621784 1840944 2432676 2838122 3243568 3681888 4257183 4865352 5676244 6487136 8514366 9730704 11352488 17028732 19461408 22704976 34057464 45409952 68114928 136229856