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134321542134 = 231341611096317
BaseRepresentation
bin111110100011000110…
…0000001001111110110
3110211201002200022221220
41331012030001033312
54200042303322014
6141412332451210
712463420161363
oct1750614011766
9424632608856
10134321542134
1151a6901075a
1222048019b06
13c8882c7360
1467033dd46a
1537624506a9
hex1f463013f6

134321542134 has 128 divisors (see below), whose sum is σ = 304034290560. Its totient is φ = 39290572800.

The previous prime is 134321542133. The next prime is 134321542141. The reversal of 134321542134 is 431245123431.

It is a junction number, because it is equal to n+sod(n) for n = 134321542095 and 134321542104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134321542133) 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 63 ways as a sum of consecutive naturals, for example, 21260344 + ... + 21266660.

It is an arithmetic number, because the mean of its divisors is an integer number (2375267895).

Almost surely, 2134321542134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134321542134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152017145280).

134321542134 is an abundant number, since it is smaller than the sum of its proper divisors (169712748426).

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

134321542134 is a wasteful number, since it uses less digits than its factorization.

134321542134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546.

The product of its digits is 34560, while the sum is 33.

Adding to 134321542134 its reverse (431245123431), we get a palindrome (565566665565).

The spelling of 134321542134 in words is "one hundred thirty-four billion, three hundred twenty-one million, five hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 41 61 78 82 109 122 123 183 218 246 327 366 533 654 793 1066 1417 1586 1599 2379 2501 2834 3198 4251 4469 4758 5002 6317 6649 7503 8502 8938 12634 13298 13407 15006 18951 19947 26814 32513 37902 39894 58097 65026 82121 86437 97539 116194 164242 172874 174291 195078 246363 258997 259311 272609 348582 385337 492726 517994 518622 545218 688553 770674 776991 817827 1156011 1377106 1553982 1635654 2065659 2312022 3366961 3543917 4131318 5009381 6733922 7087834 8951189 10018762 10100883 10631751 15028143 15798817 17902378 20201766 21263502 26853567 28230673 30056286 31597634 42001733 47396451 53707134 56461346 84003466 84692019 94792902 126005199 169384038 205384621 252010398 366998749 410769242 546022529 616153863 733997498 1092045058 1100996247 1232307726 1638067587 1722071053 2201992494 3276135174 3444142106 5166213159 10332426318 22386923689 44773847378 67160771067 134321542134