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136156741668 = 22341994634561
BaseRepresentation
bin111111011001110010…
…0110000000000100100
3111000102222221010110000
41332303210300000210
54212322111213133
6142314411301300
712560043131343
oct1766344600044
9430388833400
10136156741668
115281aa27292
122247a74a830
13cabb58cc3c
146839039b5a
15381d60d413
hex1fb3930024

136156741668 has 120 divisors (see below), whose sum is σ = 358580499200. Its totient is φ = 45050100480.

The previous prime is 136156741657. The next prime is 136156741703. The reversal of 136156741668 is 866147651631.

It is a happy number.

136156741668 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 567 + 4 + 16 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29850108 + ... + 29854668.

Almost surely, 2136156741668 is an apocalyptic number.

136156741668 is a gapful number since it is divisible by the number (18) 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 136156741668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179290249600).

136156741668 is an abundant number, since it is smaller than the sum of its proper divisors (222423757532).

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

136156741668 is a wasteful number, since it uses less digits than its factorization.

136156741668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5228 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 136156741668 in words is "one hundred thirty-six billion, one hundred fifty-six million, seven hundred forty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 324 398 463 597 796 926 1194 1389 1791 1852 2388 2778 3582 4167 4561 5373 5556 7164 8334 9122 10746 12501 13683 16119 16668 18244 21492 25002 27366 32238 37503 41049 50004 54732 64476 75006 82098 92137 123147 150012 164196 184274 246294 276411 368548 369441 492588 552822 738882 829233 907639 1105644 1477764 1658466 1815278 2111743 2487699 2722917 3316932 3630556 4223486 4975398 5445834 6335229 7463097 8168751 8446972 9950796 10891668 12670458 14926194 16337502 19005687 24506253 25340916 29852388 32675004 38011374 49012506 57017061 73518759 76022748 98025012 114034122 147037518 171051183 228068244 294075036 342102366 420236857 684204732 840473714 1260710571 1680947428 2521421142 3782131713 5042842284 7564263426 11346395139 15128526852 22692790278 34039185417 45385580556 68078370834 136156741668