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136256762790 = 23351574676883
BaseRepresentation
bin111111011100110001…
…0010011001110100110
3111000200222010201122000
41332321202103032212
54213023212402130
6142332343150130
712562366242201
oct1767142231646
9430628121560
10136256762790
1152871432675
12224a8145346
13cb06210235
146848434938
1538272b9260
hex1fb98933a6

136256762790 has 128 divisors (see below), whose sum is σ = 366501957120. Its totient is φ = 36021158784.

The previous prime is 136256762779. The next prime is 136256762791. The reversal of 136256762790 is 97267652631.

136256762790 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 5 + 6 + 7 + 627 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136256762791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19792689 + ... + 19799571.

It is an arithmetic number, because the mean of its divisors is an integer number (2863296540).

Almost surely, 2136256762790 is an apocalyptic number.

136256762790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136256762790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183250978560).

136256762790 is an abundant number, since it is smaller than the sum of its proper divisors (230245194330).

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

136256762790 is a wasteful number, since it uses less digits than its factorization.

136256762790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 136256762790 in words is "one hundred thirty-six billion, two hundred fifty-six million, seven hundred sixty-two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 467 471 785 934 942 1401 1413 1570 2335 2355 2802 2826 4203 4239 4670 4710 6883 7005 7065 8406 8478 12609 13766 14010 14130 20649 21015 21195 25218 34415 41298 42030 42390 61947 63045 68830 73319 103245 123894 126090 146638 185841 206490 219957 309735 366595 371682 439914 619470 659871 733190 929205 1080631 1099785 1319742 1858410 1979613 2161262 2199570 3214361 3241893 3299355 3959226 5403155 6428722 6483786 6598710 9643083 9725679 9898065 10806310 16071805 16209465 19286166 19451358 19796130 28929249 29177037 32143610 32418930 48215415 48628395 57858498 58354074 86787747 96430830 97256790 144646245 145885185 173575494 289292490 291770370 433938735 504654677 867877470 1009309354 1513964031 2523273385 3027928062 4541892093 5046546770 7569820155 9083784186 13625676279 15139640310 22709460465 27251352558 45418920930 68128381395 136256762790