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136541808 = 24331341593
BaseRepresentation
bin10000010001101…
…11011001110000
3100111221001011000
420020313121300
5234423314213
621314322000
73245405034
oct1010673160
9314831130
10136541808
117008a977
1239889300
1322399290
14141c41c4
15bec1c73
hex8237670

136541808 has 160 divisors (see below), whose sum is σ = 433097280. Its totient is φ = 40919040.

The previous prime is 136541761. The next prime is 136541819. The reversal of 136541808 is 808145631.

136541808 is a `hidden beast` number, since 1 + 36 + 541 + 80 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229960 + ... + 230552.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2136541808 is an apocalyptic number.

136541808 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 136541808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

136541808 is an abundant number, since it is smaller than the sum of its proper divisors (296555472).

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

136541808 is a wasteful number, since it uses less digits than its factorization.

136541808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 136541808 is about 11685.1105257931. The cubic root of 136541808 is about 514.9383254764.

The spelling of 136541808 in words is "one hundred thirty-six million, five hundred forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 82 104 108 117 123 144 156 164 208 216 234 246 312 328 351 369 432 468 492 533 593 624 656 702 738 936 984 1066 1107 1186 1404 1476 1599 1779 1872 1968 2132 2214 2372 2808 2952 3198 3558 4264 4428 4744 4797 5337 5616 5904 6396 7116 7709 8528 8856 9488 9594 10674 12792 14232 14391 15418 16011 17712 19188 21348 23127 24313 25584 28464 28782 30836 32022 38376 42696 46254 48626 57564 61672 64044 69381 72939 76752 85392 92508 97252 115128 123344 128088 138762 145878 185016 194504 208143 218817 230256 256176 277524 291756 316069 370032 389008 416286 437634 555048 583512 632138 656451 832572 875268 948207 1110096 1167024 1264276 1312902 1665144 1750536 1896414 2528552 2625804 2844621 3330288 3501072 3792828 5057104 5251608 5689242 7585656 8533863 10503216 11378484 15171312 17067726 22756968 34135452 45513936 68270904 136541808