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137424866376 = 233719181123773
BaseRepresentation
bin111111111111100101…
…0010000110001001000
3111010201101010112111210
41333333022100301020
54222421231211001
6143044311453120
712633342043050
oct1777712206110
9433641115453
10137424866376
1153310833136
12227733871a0
13cc612174a5
146919620560
153894b03dd6
hex1fff290c48

137424866376 has 128 divisors (see below), whose sum is σ = 413553484800. Its totient is φ = 37175604480.

The previous prime is 137424866363. The next prime is 137424866389. The reversal of 137424866376 is 673668424731.

It is an interprime number because it is at equal distance from previous prime (137424866363) and next prime (137424866389).

It is a super-2 number, since 2×1374248663762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5768826 + ... + 5792598.

It is an arithmetic number, because the mean of its divisors is an integer number (3230886600).

Almost surely, 2137424866376 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 137424866376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206776742400).

137424866376 is an abundant number, since it is smaller than the sum of its proper divisors (276128618424).

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

137424866376 is a wasteful number, since it uses less digits than its factorization.

137424866376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25619 (or 25615 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 57.

The spelling of 137424866376 in words is "one hundred thirty-seven billion, four hundred twenty-four million, eight hundred sixty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 1811 3192 3622 5433 7244 10866 12677 14488 21732 23773 25354 34409 38031 43464 47546 50708 68818 71319 76062 95092 101416 103227 137636 142638 152124 166411 190184 206454 240863 275272 285276 304248 332822 412908 451687 481726 499233 570552 665644 722589 825816 903374 963452 998466 1331288 1355061 1445178 1806748 1926904 1996932 2710122 2890356 3161809 3613496 3993864 5420244 5780712 6323618 9485427 10840488 12647236 18970854 25294472 37941708 43052903 75883416 86105806 129158709 172211612 258317418 301370321 344423224 516634836 602740642 818005157 904110963 1033269672 1205481284 1636010314 1808221926 2410962568 2454015471 3272020628 3616443852 4908030942 5726036099 6544041256 7232887704 9816061884 11452072198 17178108297 19632123768 22904144396 34356216594 45808288792 68712433188 137424866376