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135842501009215 = 571113375653129763
BaseRepresentation
bin11110111000110001001100…
…000001001001111100111111
3122210222102020110102010100001
4132320301030001021330333
5120301120420224243330
61200525103343015131
740420203544660540
oct3670611401117477
9583872213363301
10135842501009215
113a31353245a790
121329b22a89a4a7
135aa4b7b86bc80
142578b526ac4c7
1510a889641d9ca
hex7b8c4c049f3f

135842501009215 has 128 divisors (see below), whose sum is σ = 224824762939392. Its totient is φ = 76040448952320.

The previous prime is 135842501009213. The next prime is 135842501009231. The reversal of 135842501009215 is 512900105248531.

It is not a de Polignac number, because 135842501009215 - 21 = 135842501009213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135842501009213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1046785924 + ... + 1046915686.

It is an arithmetic number, because the mean of its divisors is an integer number (1756443460464).

Almost surely, 2135842501009215 is an apocalyptic number.

135842501009215 is a deficient number, since it is larger than the sum of its proper divisors (88982261930177).

135842501009215 is a wasteful number, since it uses less digits than its factorization.

135842501009215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135489.

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 135842501009215 in words is "one hundred thirty-five trillion, eight hundred forty-two billion, five hundred one million, nine thousand, two hundred fifteen".

Divisors: 1 5 7 11 13 35 37 55 65 77 91 143 185 259 385 407 455 481 715 1001 1295 2035 2405 2849 3367 5005 5291 5653 14245 16835 26455 28265 37037 39571 62183 73489 129763 185185 197855 209161 310915 367445 435281 514423 648815 808379 908341 1045805 1427393 1464127 1686919 2176405 2300771 2572115 2719093 4041895 4541705 4801231 5658653 7136965 7320635 8434595 9991751 11503855 11808433 13595465 16105397 18556109 19033651 24006155 28293265 29910023 33608617 49958755 52813541 59042165 62416003 80526985 92780545 95168255 129892763 149550115 168043085 209370161 264067705 312080015 369694787 436912021 649463815 686576033 733550239 1046850805 1848473935 2184560105 3432880165 3667751195 4806032231 5134851673 8069052629 9536153107 24030161155 25674258365 27141358843 40345263145 47680765535 56483368403 66753071749 104897684177 135706794215 189989511901 282416842015 298554947273 333765358745 352837664959 524488420885 734283789239 949947559505 1492774736365 1764188324795 2089884630911 2469863654713 3671418946195 3881214314549 10449423154555 12349318273565 19406071572745 27168500201843 135842501009215