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137539703124 = 223217331821827
BaseRepresentation
bin1000000000011000000…
…0010101000101010100
3111011000101012211220200
42000012000111011110
54223140130444444
6143103533100500
712636235121055
oct2000600250524
9434011184820
10137539703124
115336a63873a
12227a5927730
13cc7bc54225
14692a99472c
15389ec39969
hex2006015154

137539703124 has 144 divisors (see below), whose sum is σ = 370129870656. Its totient is φ = 42914995200.

The previous prime is 137539703089. The next prime is 137539703153. The reversal of 137539703124 is 421307935731.

137539703124 is a `hidden beast` number, since 1 + 37 + 539 + 70 + 3 + 12 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137539703124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166311199 + ... + 166312025.

It is an arithmetic number, because the mean of its divisors is an integer number (2570346324).

Almost surely, 2137539703124 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 137539703124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185064935328).

137539703124 is an abundant number, since it is smaller than the sum of its proper divisors (232590167532).

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

137539703124 is a wasteful number, since it uses less digits than its factorization.

137539703124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 137539703124 in words is "one hundred thirty-seven billion, five hundred thirty-nine million, seven hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 331 612 662 821 827 993 1324 1642 1654 1986 2463 2481 2979 3284 3308 3972 4926 4962 5627 5958 7389 7443 9852 9924 11254 11916 13957 14059 14778 14886 16881 22508 27914 28118 29556 29772 33762 41871 42177 50643 55828 56236 67524 83742 84354 101286 125613 126531 167484 168708 202572 251226 253062 271751 273737 502452 506124 543502 547474 678967 815253 821211 1087004 1094948 1357934 1630506 1642422 2036901 2445759 2463633 2715868 3261012 3284844 4073802 4619767 4653529 4891518 4927266 6110703 8147604 9239534 9307058 9783036 9854532 11542439 12221406 13859301 13960587 18479068 18614116 23084878 24442812 27718602 27921174 34627317 41577903 41881761 46169756 55437204 55842348 69254634 83155806 83763522 103881951 138509268 166311612 167527044 207763902 224738077 415527804 449476154 674214231 898952308 1348428462 2022642693 2696856924 3820547309 4045285386 7641094618 8090570772 11461641927 15282189236 22923283854 34384925781 45846567708 68769851562 137539703124