Search a number
-
+
135091714688 = 2773137131449
BaseRepresentation
bin111110111010000010…
…1111111101010000000
3110220200202220011002022
41331310011333222000
54203131434332223
6142021004141012
712521461425410
oct1756405775200
9426622804068
10135091714688
11523238297a7
1222221b37768
13c97ba35968
146777802640
1537a9d84ac8
hex1f7417fa80

135091714688 has 128 divisors (see below), whose sum is σ = 326080128000. Its totient is φ = 54514114560.

The previous prime is 135091714687. The next prime is 135091714729. The reversal of 135091714688 is 886417190531.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (135091714687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961988 + ... + 1093436.

It is an arithmetic number, because the mean of its divisors is an integer number (2547501000).

Almost surely, 2135091714688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135091714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163040064000).

135091714688 is an abundant number, since it is smaller than the sum of its proper divisors (190988413312).

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

135091714688 is a wasteful number, since it uses less digits than its factorization.

135091714688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131538 (or 131526 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 53.

The spelling of 135091714688 in words is "one hundred thirty-five billion, ninety-one million, seven hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 128 148 217 224 248 259 296 434 448 496 518 592 868 896 992 1036 1147 1184 1736 1984 2072 2294 2368 3472 3968 4144 4588 4736 6944 8029 8288 9176 13888 16058 16576 18352 27776 32116 33152 36704 64232 73408 128464 131449 146816 256928 262898 513856 525796 920143 1027712 1051592 1840286 2103184 3680572 4074919 4206368 4863613 7361144 8149838 8412736 9727226 14722288 16299676 16825472 19454452 28524433 29444576 32599352 34045291 38908904 57048866 58889152 65198704 68090582 77817808 114097732 117778304 130397408 136181164 150772003 155635616 228195464 260794816 272362328 301544006 311271232 456390928 521589632 544724656 603088012 622542464 912781856 1055404021 1089449312 1206176024 1825563712 2110808042 2178898624 2412352048 3651127424 4221616084 4357797248 4824704096 8443232168 9649408192 16886464336 19298816384 33772928672 67545857344 135091714688