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136118638460160 = 283353938618011
BaseRepresentation
bin11110111100110010010111…
…000101111011110100000000
3122211221210222221202001122000
4132330302113011323310000
5120320131432421211120
61201300012250544000
740446150516405306
oct3674622705736400
9584853887661560
10136118638460160
113a40a654894764
1213324854738000
135ac4c179c8565
14258826a554276
1510b0b58bdc990
hex7bcc9717bd00

136118638460160 has 144 divisors (see below), whose sum is σ = 483032112991680. Its totient is φ = 36298303580160.

The previous prime is 136118638460089. The next prime is 136118638460197. The reversal of 136118638460160 is 61064836811631.

It is a happy number.

136118638460160 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 18 + 6 + 3 + 8 + 460 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 136118638460097 and 136118638460106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969274446 + ... + 1969343565.

Almost surely, 2136118638460160 is an apocalyptic number.

136118638460160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136118638460160 is an abundant number, since it is smaller than the sum of its proper divisors (346913474531520).

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

136118638460160 is an equidigital number, since it uses as much as digits as its factorization.

136118638460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938618041 (or 3938618021 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 136118638460160 in words is "one hundred thirty-six trillion, one hundred eighteen billion, six hundred thirty-eight million, four hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 3938618011 7877236022 11815854033 15754472044 19693090055 23631708066 31508944088 35447562099 39386180110 47263416132 59079270165 63017888176 70895124198 78772360220 94526832264 106342686297 118158540330 126035776352 141790248396 157544720440 177237810495 189053664528 212685372594 236317080660 252071552704 283580496792 315089440880 354475620990 378107329056 425370745188 472634161320 504143105408 531713431485 567160993584 630178881760 708951241980 756214658112 850741490376 945268322640 1008286210816 1063426862970 1134321987168 1260357763520 1417902483960 1512429316224 1701482980752 1890536645280 2126853725940 2268643974336 2520715527040 2835804967920 3024858632448 3402965961504 3781073290560 4253707451880 4537287948672 5041431054080 5671609935840 6805931923008 7562146581120 8507414903760 9074575897344 11343219871680 13611863846016 15124293162240 17014829807520 22686439743360 27223727692032 34029659615040 45372879486720 68059319230080 136118638460160