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134690501973840 = 24357924137294317
BaseRepresentation
bin11110101000000000010011…
…100001100101011101010000
3122122220021201122222122222020
4132220000103201211131100
5120123232122001130330
61154243543513411440
740241032125514011
oct3650002341453520
9578807648878866
10134690501973840
1139a09a14a9889a
1213133b08709b80
135a2034bb26a17
1425390ab1cb008
151088920856210
hex7a8013865750

134690501973840 has 160 divisors (see below), whose sum is σ = 422844834055680. Its totient is φ = 35461225992192.

The previous prime is 134690501973809. The next prime is 134690501973857. The reversal of 134690501973840 is 48379105096431.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457490362 + ... + 457784678.

It is an arithmetic number, because the mean of its divisors is an integer number (2642780212848).

Almost surely, 2134690501973840 is an apocalyptic number.

134690501973840 is a gapful number since it is divisible by the number (10) 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 134690501973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211422417027840).

134690501973840 is an abundant number, since it is smaller than the sum of its proper divisors (288154332081840).

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

134690501973840 is a wasteful number, since it uses less digits than its factorization.

134690501973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318549 (or 318543 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 134690501973840 in words is "one hundred thirty-four trillion, six hundred ninety billion, five hundred one million, nine hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 24137 48274 72411 96548 120685 144822 193096 241370 289644 294317 362055 386192 482740 579288 588634 724110 882951 965480 1158576 1177268 1448220 1471585 1765902 1906823 1930960 2354536 2896440 2943170 3531804 3813646 4414755 4709072 5720469 5792880 5886340 7063608 7627292 8829510 9534115 11440938 11772680 14127216 15254584 17659020 19068230 22881876 23251043 23545360 28602345 30509168 35318040 38136460 45763752 46502086 57204690 69753129 70636080 76272920 91527504 93004172 114409380 116255215 139506258 152545840 186008344 228818760 232510430 279012516 348765645 372016688 457637520 465020860 558025032 697531290 930041720 1116050064 1395062580 1860083440 2790125160 5580250320 7103929429 14207858858 21311788287 28415717716 35519647145 42623576574 56831435432 71039294290 85247153148 106558941435 113662870864 142078588580 170494306296 213117882870 284157177160 340988612592 426235765740 561210424891 568314354320 852471531480 1122420849782 1683631274673 1704943062960 2244841699564 2806052124455 3367262549346 4489683399128 5612104248910 6734525098692 8418156373365 8979366798256 11224208497820 13469050197384 16836312746730 22448416995640 26938100394768 33672625493460 44896833991280 67345250986920 134690501973840