Search a number
-
+
135160606175142 = 236713186310332879
BaseRepresentation
bin11110101110110110000111…
…111010110010111110100110
3122201120020011000222110011010
4132232312013322302332212
5120203432410140101032
61155243531510123050
740320013551345402
oct3656660772627646
9581506130873133
10135160606175142
113a080322613239
12131ab045650486
135a5578a364582
142553b45b6c102
151095c86a94ccc
hex7aed87eb2fa6

135160606175142 has 128 divisors (see below), whose sum is σ = 277134669250560. Its totient is φ = 43933422424320.

The previous prime is 135160606175131. The next prime is 135160606175143. The reversal of 135160606175142 is 241571606061531.

It is a junction number, because it is equal to n+sod(n) for n = 135160606175091 and 135160606175100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135160606175143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46947065659 + ... + 46947068537.

It is an arithmetic number, because the mean of its divisors is an integer number (2165114603520).

Almost surely, 2135160606175142 is an apocalyptic number.

135160606175142 is an abundant number, since it is smaller than the sum of its proper divisors (141974063075418).

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

135160606175142 is a wasteful number, since it uses less digits than its factorization.

135160606175142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978.

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 135160606175142 in words is "one hundred thirty-five trillion, one hundred sixty billion, six hundred six million, one hundred seventy-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 67 131 134 201 262 393 402 786 863 1033 1726 2066 2589 2879 3099 5178 5758 6198 8637 8777 17274 17554 26331 52662 57821 69211 113053 115642 135323 138422 173463 192893 207633 226106 270646 339159 346926 377149 385786 405969 415266 578679 678318 754298 811938 891479 1131447 1157358 1782958 2262894 2484577 2674437 2974007 4969154 5348874 5948014 7453731 7574551 8922021 9066641 14907462 15149102 17844042 18133282 22723653 25268983 27199923 45447306 50537966 54399846 59729093 75806949 116783749 119458186 151613898 166466659 179187279 199258469 233567498 325479587 332933318 350351247 358374558 389594917 398516938 499399977 597775407 650959174 700702494 779189834 976438761 998799954 1168784751 1195550814 1952877522 2337569502 2566568041 5133136082 7699704123 7824511183 15399408246 15649022366 21807132329 23473533549 26102859439 43614264658 46947067098 52205718878 65421396987 78308578317 130842793974 156617156634 171960058747 336220413371 343920117494 515880176241 672440826742 1008661240113 1031760352482 2017322480226 22526767695857 45053535391714 67580303087571 135160606175142