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134000680716 = 2232711331115131
BaseRepresentation
bin111110011001100010…
…0000001111100001100
3110210212201220212211200
41330303010001330030
54143413133240331
6141320431345500
712452442664350
oct1746304017414
9423781825750
10134000680716
1151913988831
1221b78682290
13c8369a4026
1466b2959460
1537441c05e6
hex1f33101f0c

134000680716 has 144 divisors (see below), whose sum is σ = 391820502528. Its totient is φ = 37822579200.

The previous prime is 134000680669. The next prime is 134000680747. The reversal of 134000680716 is 617086000431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8848471 + ... + 8863601.

It is an arithmetic number, because the mean of its divisors is an integer number (2720975712).

Almost surely, 2134000680716 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 134000680716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195910251264).

134000680716 is an abundant number, since it is smaller than the sum of its proper divisors (257819821812).

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

134000680716 is a wasteful number, since it uses less digits than its factorization.

134000680716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 134000680716 in words is "one hundred thirty-four billion, six hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 311 339 452 622 678 791 933 1017 1244 1356 1582 1866 2034 2177 2373 2799 3164 3732 4068 4354 4746 5598 6531 7119 8708 9492 11196 13062 14238 15131 19593 26124 28476 30262 35143 39186 45393 60524 70286 78372 90786 105429 105917 136179 140572 181572 210858 211834 246001 272358 316287 317751 421716 423668 492002 544716 632574 635502 738003 953253 984004 1265148 1271004 1476006 1709803 1906506 2214009 2952012 3419606 3813012 4428018 4705741 5129409 6839212 8856036 9411482 10258818 11968621 14117223 15388227 18822964 20517636 23937242 28234446 30776454 32940187 35905863 42351669 47874484 56468892 61552908 65880374 71811726 84703338 98820561 107717589 131760748 143623452 169406676 197641122 215435178 296461683 395282244 430870356 531748733 592923366 1063497466 1185846732 1595246199 2126994932 3190492398 3722241131 4785738597 6380984796 7444482262 9571477194 11166723393 14888964524 19142954388 22333446786 33500170179 44666893572 67000340358 134000680716