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137702896380 = 223257543120123
BaseRepresentation
bin1000000000111110111…
…0110111001011111100
3111011102202021220222100
42000033232313023330
54224003420141010
6143132042545100
712643256210130
oct2001756671374
9434382256870
10137702896380
11534437711a5
1222830508190
13cca69c229a
1469445153c0
1538ae2232c0
hex200fbb72fc

137702896380 has 144 divisors (see below), whose sum is σ = 477481665024. Its totient is φ = 31467588480.

The previous prime is 137702896379. The next prime is 137702896381. The reversal of 137702896380 is 83698207731.

It is an interprime number because it is at equal distance from previous prime (137702896379) and next prime (137702896381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137702896381) 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, 6832999 + ... + 6853121.

It is an arithmetic number, because the mean of its divisors is an integer number (3315844896).

Almost surely, 2137702896380 is an apocalyptic number.

137702896380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137702896380 is an abundant number, since it is smaller than the sum of its proper divisors (339778768644).

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

137702896380 is a wasteful number, since it uses less digits than its factorization.

137702896380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25576 (or 25571 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 137702896380 in words is "one hundred thirty-seven billion, seven hundred two million, eight hundred ninety-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 5431 10862 16293 20123 21724 27155 32586 38017 40246 48879 54310 60369 65172 76034 80492 81465 97758 100615 108620 114051 120738 140861 152068 162930 181107 190085 195516 201230 228102 241476 244395 281722 301845 325860 342153 362214 380170 402460 422583 456204 488790 563444 570255 603690 684306 704305 724428 760340 845166 905535 977580 1140510 1207380 1267749 1368612 1408610 1690332 1710765 1811070 2112915 2281020 2535498 2817220 3421530 3622140 4225830 5070996 6338745 6843060 8451660 12677490 25354980 109288013 218576026 327864039 437152052 546440065 655728078 765016091 983592117 1092880130 1311456156 1530032182 1639320195 1967184234 2185760260 2295048273 3060064364 3278640390 3825080455 3934368468 4590096546 4917960585 6557280780 6885144819 7650160910 9180193092 9835921170 11475241365 13770289638 15300321820 19671842340 22950482730 27540579276 34425724095 45900965460 68851448190 137702896380