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135142320747126 = 237112319764558783
BaseRepresentation
bin11110101110100101000110…
…000001011011001001110110
3122201111110221200201110111110
4132232211012001123021312
5120203132433102402001
61155231305230015450
740315465455644550
oct3656450601331166
9581443850643443
10135142320747126
113a0735999aa560
12131a75a1947586
135a53b34c68a94
142552ccd4824d0
15109556660a3d6
hex7ae94605b276

135142320747126 has 128 divisors (see below), whose sum is σ = 353414409486336. Its totient is φ = 33405296158080.

The previous prime is 135142320747061. The next prime is 135142320747169. The reversal of 135142320747126 is 621747023241531.

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, 30186070 + ... + 34372713.

It is an arithmetic number, because the mean of its divisors is an integer number (2761050074112).

Almost surely, 2135142320747126 is an apocalyptic number.

135142320747126 is an abundant number, since it is smaller than the sum of its proper divisors (218272088739210).

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

135142320747126 is a wasteful number, since it uses less digits than its factorization.

135142320747126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64559026.

The product of its (nonzero) digits is 1693440, while the sum is 48.

Adding to 135142320747126 its reverse (621747023241531), we get a palindrome (756889343988657).

The spelling of 135142320747126 in words is "one hundred thirty-five trillion, one hundred forty-two billion, three hundred twenty million, seven hundred forty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 197 231 253 322 394 462 483 506 591 759 966 1182 1379 1518 1771 2167 2758 3542 4137 4334 4531 5313 6501 8274 9062 10626 13002 13593 15169 27186 30338 31717 45507 49841 63434 91014 95151 99682 149523 190302 299046 348887 697774 1046661 2093322 64558783 129117566 193676349 387352698 451911481 710146613 903822962 1355734443 1420293226 1484852009 2130439839 2711468886 2969704018 4260879678 4454556027 4971026291 8909112054 9942052582 10393964063 12718080251 14913078873 16333372099 20787928126 25436160502 29826157746 31181892189 32666744198 38154240753 49000116297 62363784378 76308481506 89026561757 98000232594 114333604693 139898882761 178053123514 228667209386 267079685271 279797765522 292515845773 343000814079 419696648283 534159370542 585031691546 686001628158 839393296566 877547537319 979292179327 1755095074638 1958584358654 2047610920411 2937876537981 3217674303503 4095221840822 5875753075962 6142832761233 6435348607006 9653022910509 12285665522466 19306045821018 22523720124521 45047440249042 67571160373563 135142320747126