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137590680780 = 22345712133217
BaseRepresentation
bin1000000000100100001…
…0110010110011001100
3111011010221010210010000
42000021002302303030
54223241203241110
6143112553444300
712640424330010
oct2001102626314
9434127123100
10137590680780
1153396396a33
12227baa10690
13cc89692617
146933664540
1538a44591c0
hex20090b2ccc

137590680780 has 120 divisors (see below), whose sum is σ = 493288111008. Its totient is φ = 31449295872.

The previous prime is 137590680761. The next prime is 137590680811. The reversal of 137590680780 is 87086095731.

It is a super-2 number, since 2×1375906807802 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6055269 + ... + 6077948.

Almost surely, 2137590680780 is an apocalyptic number.

137590680780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137590680780 is an abundant number, since it is smaller than the sum of its proper divisors (355697430228).

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

137590680780 is a wasteful number, since it uses less digits than its factorization.

137590680780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133245 (or 12133234 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 137590680780 in words is "one hundred thirty-seven billion, five hundred ninety million, six hundred eighty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 12133217 24266434 36399651 48532868 60666085 72799302 84932519 109198953 121332170 145598604 169865038 181998255 218397906 242664340 254797557 327596859 339730076 363996510 424662595 436795812 509595114 545994765 655193718 727993020 764392671 849325190 982790577 1019190228 1091989530 1273987785 1310387436 1528785342 1637984295 1698650380 1965581154 2183979060 2293178013 2547975570 3057570684 3275968590 3821963355 3931162308 4586356026 4913952885 5095951140 6551937180 6879534039 7643926710 9172712052 9827905770 11465890065 13759068078 15287853420 19655811540 22931780130 27518136156 34397670195 45863560260 68795340390 137590680780