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136883736 = 233311531087
BaseRepresentation
bin10000010100010…
…10111000011000
3100112120102012000
420022022320120
5240020234421
621325521000
73251330643
oct1012127030
9315512160
10136883736
11702a3860
1239a13160
1322488ac2
1414272a5a
15c03d226
hex828ae18

136883736 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 40659840.

The previous prime is 136883731. The next prime is 136883737. The reversal of 136883736 is 637388631.

It is a junction number, because it is equal to n+sod(n) for n = 136883691 and 136883700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136883731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125385 + ... + 126471.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2136883736 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 136883736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

136883736 is an abundant number, since it is smaller than the sum of its proper divisors (286130664).

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

136883736 is a wasteful number, since it uses less digits than its factorization.

136883736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 136883736 is about 11699.7323046299. The cubic root of 136883736 is about 515.3678033666.

It can be divided in two parts, 13688 and 3736, that added together give a square (17424 = 1322).

The spelling of 136883736 in words is "one hundred thirty-six million, eight hundred eighty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 66 72 88 99 106 108 132 159 198 212 216 264 297 318 396 424 477 583 594 636 792 954 1087 1166 1188 1272 1431 1749 1908 2174 2332 2376 2862 3261 3498 3816 4348 4664 5247 5724 6522 6996 8696 9783 10494 11448 11957 13044 13992 15741 19566 20988 23914 26088 29349 31482 35871 39132 41976 47828 57611 58698 62964 71742 78264 95656 107613 115222 117396 125928 143484 172833 215226 230444 234792 286968 322839 345666 430452 460888 518499 633721 645678 691332 860904 1036998 1267442 1291356 1382664 1555497 1901163 2073996 2534884 2582712 3110994 3802326 4147992 5069768 5703489 6221988 7604652 11406978 12443976 15209304 17110467 22813956 34220934 45627912 68441868 136883736