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138118596 = 2237112107127
BaseRepresentation
bin10000011101110…
…00010111000100
3100121220011002120
420032320113010
5240324243341
621412205540
73264663060
oct1016702704
9317804076
10138118596
1170a67600
123a3098b0
13227cbba5
14144b4aa0
15c1d4066
hex83b85c4

138118596 has 144 divisors (see below), whose sum is σ = 411844608. Its totient is φ = 35259840.

The previous prime is 138118577. The next prime is 138118597. The reversal of 138118596 is 695811831.

It is a super-2 number, since 2×1381185962 = 38153493122022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (51840) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138118597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087485 + ... + 1087611.

It is an arithmetic number, because the mean of its divisors is an integer number (2860032).

Almost surely, 2138118596 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 138118596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205922304).

138118596 is an abundant number, since it is smaller than the sum of its proper divisors (273726012).

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

138118596 is a wasteful number, since it uses less digits than its factorization.

138118596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 138118596 is about 11752.3868214078. The cubic root of 138118596 is about 516.9129172778.

The spelling of 138118596 in words is "one hundred thirty-eight million, one hundred eighteen thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 121 127 132 154 214 231 242 254 308 321 363 381 428 462 484 508 642 726 749 762 847 889 924 1177 1284 1397 1452 1498 1524 1694 1778 2247 2354 2541 2667 2794 2996 3388 3531 3556 4191 4494 4708 5082 5334 5588 7062 8239 8382 8988 9779 10164 10668 12947 13589 14124 15367 16478 16764 19558 24717 25894 27178 29337 30734 32956 38841 39116 40767 46101 49434 51788 54356 58674 61468 77682 81534 90629 92202 95123 98868 107569 117348 149479 155364 163068 181258 184404 190246 215138 271887 285369 298958 322707 362516 380492 430276 448437 543774 570738 597916 645414 896874 1046353 1087548 1141476 1290828 1644269 1793748 2092706 3139059 3288538 4185412 4932807 6278118 6577076 9865614 11509883 12556236 19731228 23019766 34529649 46039532 69059298 138118596