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135340418598 = 237111723749219
BaseRepresentation
bin111111000001011101…
…0101110011000100110
3110221100002212121201020
41332002322232120212
54204134121343343
6142101410512010
712530601401610
oct1760272563046
9427302777636
10135340418598
1152441157720
1222291295606
13c9bb413438
14679c861db0
1537c1b0eb83
hex1f82eae626

135340418598 has 128 divisors (see below), whose sum is σ = 372859822080. Its totient is φ = 31646968320.

The previous prime is 135340418557. The next prime is 135340418617. The reversal of 135340418598 is 895814043531.

135340418598 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 135340418598.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193968 + ... + 555251.

It is an arithmetic number, because the mean of its divisors is an integer number (2912967360).

Almost surely, 2135340418598 is an apocalyptic number.

135340418598 is an abundant number, since it is smaller than the sum of its proper divisors (237519403482).

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

135340418598 is a wasteful number, since it uses less digits than its factorization.

135340418598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749282.

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 135340418598 in words is "one hundred thirty-five billion, three hundred forty million, four hundred eighteen thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 17 21 22 23 33 34 42 46 51 66 69 77 102 119 138 154 161 187 231 238 253 322 357 374 391 462 483 506 561 714 759 782 966 1122 1173 1309 1518 1771 2346 2618 2737 3542 3927 4301 5313 5474 7854 8211 8602 10626 12903 16422 25806 30107 60214 90321 180642 749219 1498438 2247657 4495314 5244533 8241409 10489066 12736723 15733599 16482818 17232037 24724227 25473446 31467198 34464074 38210169 49448454 51696111 57689863 76420338 89157061 103392222 115379726 120624259 140103953 173069589 178314122 189552407 241248518 267471183 280207906 292944629 346139178 361872777 379104814 420311859 534942366 568657221 585889258 723745554 840623718 878833887 980727671 1137314442 1326866849 1757667774 1961455342 2050612403 2653733698 2942183013 3222390919 3980600547 4101224806 5884366026 6151837209 6444781838 7961201094 9667172757 12303674418 19334345514 22556736433 45113472866 67670209299 135340418598