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136345714336 = 25133073672909
BaseRepresentation
bin111111011111011010…
…1100111111010100000
3111000221011111221012201
41332332311213322200
54213214000324321
6142345241502544
712564526310146
oct1767665477240
9430834457181
10136345714336
1152907668247
1222511aa1a54
13cb1b785ba0
14685618b596
15382eeda291
hex1fbed67ea0

136345714336 has 96 divisors (see below), whose sum is σ = 290910977280. Its totient is φ = 62531398656.

The previous prime is 136345714289. The next prime is 136345714361. The reversal of 136345714336 is 633417543631.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46868850 + ... + 46871758.

It is an arithmetic number, because the mean of its divisors is an integer number (3030322680).

Almost surely, 2136345714336 is an apocalyptic number.

136345714336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136345714336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145455488640).

136345714336 is an abundant number, since it is smaller than the sum of its proper divisors (154565262944).

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

136345714336 is a wasteful number, since it uses less digits than its factorization.

136345714336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3598 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 46.

The spelling of 136345714336 in words is "one hundred thirty-six billion, three hundred forty-five million, seven hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 307 367 416 614 734 1228 1468 2456 2909 2936 3991 4771 4912 5818 5872 7982 9542 9824 11636 11744 15964 19084 23272 31928 37817 38168 46544 63856 75634 76336 93088 112669 127712 151268 152672 225338 302536 450676 605072 893063 901352 1067603 1210144 1464697 1786126 1802704 2135206 2929394 3572252 3605408 4270412 5858788 7144504 8540824 11609819 11717576 13878839 14289008 17081648 23219638 23435152 27757678 28578016 34163296 46439276 46870304 55515356 92878552 111030712 185757104 222061424 327754121 371514208 444122848 655508242 1311016484 2622032968 4260803573 5244065936 8521607146 10488131872 17043214292 34086428584 68172857168 136345714336