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135101057706 = 23337523129289
BaseRepresentation
bin111110111010010100…
…1101000101010101010
3110220201102110211022000
41331310221220222222
54203141332321311
6142021540311430
712521634020466
oct1756451505252
9426642424260
10135101057706
11523290302aa
12222250a2576
13c980957484
146778b554a6
1537aaacd056
hex1f74a68aaa

135101057706 has 64 divisors (see below), whose sum is σ = 308930697600. Its totient is φ = 43732441728.

The previous prime is 135101057633. The next prime is 135101057723. The reversal of 135101057706 is 607750101531.

135101057706 is a `hidden beast` number, since 13 + 510 + 10 + 57 + 70 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980310 + ... + 1109598.

It is an arithmetic number, because the mean of its divisors is an integer number (4827042150).

Almost surely, 2135101057706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135101057706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154465348800).

135101057706 is an abundant number, since it is smaller than the sum of its proper divisors (173829639894).

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

135101057706 is a wasteful number, since it uses less digits than its factorization.

135101057706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129860 (or 129854 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 135101057706 in words is "one hundred thirty-five billion, one hundred one million, fifty-seven thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 523 666 999 1046 1569 1998 3138 4707 9414 14121 19351 28242 38702 58053 116106 129289 174159 258578 348318 387867 522477 775734 1044954 1163601 2327202 3490803 4783693 6981606 9567386 14351079 28702158 43053237 67618147 86106474 129159711 135236294 202854441 258319422 405708882 608563323 1217126646 1825689969 2501871439 3651379938 5003742878 7505614317 15011228634 22516842951 45033685902 67550528853 135101057706