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134265361164 = 2231121947103549
BaseRepresentation
bin111110100001011010…
…1101101001100001100
3110211120011222001011020
41331002311231030030
54144433413024124
6141403004354140
712462135511434
oct1750265551414
9424504861136
10134265361164
1151a3a329100
1222031245950
13c87978678c
1466d9b772c4
15375c554379
hex1f42d6d30c

134265361164 has 144 divisors (see below), whose sum is σ = 370195392000. Its totient is φ = 37724607360.

The previous prime is 134265361159. The next prime is 134265361169. The reversal of 134265361164 is 461163562431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134265361159) and next prime (134265361169).

It is not an unprimeable number, because it can be changed into a prime (134265361169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244862 + ... + 1348410.

Almost surely, 2134265361164 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 134265361164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185097696000).

134265361164 is an abundant number, since it is smaller than the sum of its proper divisors (235930030836).

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

134265361164 is a wasteful number, since it uses less digits than its factorization.

134265361164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103644 (or 103631 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 134265361164 in words is "one hundred thirty-four billion, two hundred sixty-five million, three hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 47 57 66 76 94 114 121 132 141 188 209 228 242 282 363 418 484 517 564 627 726 836 893 1034 1254 1452 1551 1786 2068 2299 2508 2679 3102 3572 4598 5358 5687 6204 6897 9196 9823 10716 11374 13794 17061 19646 22748 27588 29469 34122 39292 58938 68244 103549 108053 117876 207098 216106 310647 324159 414196 432212 621294 648318 1139039 1242588 1296636 1967431 2278078 3417117 3934862 4556156 4866803 5902293 6834234 7869724 9733606 11804586 12529429 13668468 14600409 19467212 21641741 23609172 25058858 29200818 37588287 43283482 50117716 53534833 58401636 64925223 75176574 86566964 92469257 107069666 129850446 150353148 160604499 184938514 214139332 238059151 259700892 277407771 321208998 369877028 476118302 554815542 588883163 642417996 714177453 952236604 1017161827 1109631084 1177766326 1428354906 1766649489 2034323654 2355532652 2856709812 3051485481 3533298978 4068647308 6102970962 7066597956 11188780097 12205941924 22377560194 33566340291 44755120388 67132680582 134265361164