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137144275404 = 22331252322739
BaseRepresentation
bin111111110111001101…
…1111001000111001100
3111002222211011001001120
41333232123321013030
54221332413303104
6143000405440540
712623364051423
oct1775633710714
9432884131046
10137144275404
1153187405a74
12226b5410150
13cc18053b26
1468d02602ba
15387a17acd9
hex1fee6f91cc

137144275404 has 72 divisors (see below), whose sum is σ = 331305791040. Its totient is φ = 44153557920.

The previous prime is 137144275403. The next prime is 137144275417. The reversal of 137144275404 is 404572441731.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137144275403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6019867 + ... + 6042605.

It is an arithmetic number, because the mean of its divisors is an integer number (4601469320).

Almost surely, 2137144275404 is an apocalyptic number.

It is an amenable number.

137144275404 is an abundant number, since it is smaller than the sum of its proper divisors (194161515636).

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

137144275404 is a wasteful number, since it uses less digits than its factorization.

137144275404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23331 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 137144275404 in words is "one hundred thirty-seven billion, one hundred forty-four million, two hundred seventy-five thousand, four hundred four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 523 961 1046 1569 1922 2092 2883 3138 3844 5766 6276 11532 16213 22739 32426 45478 48639 64852 68217 90956 97278 136434 194556 272868 502603 704909 1005206 1409818 1507809 2010412 2114727 2819636 3015618 4229454 6031236 8458908 11892497 21852179 23784994 35677491 43704358 47569988 65556537 71354982 87408716 131113074 142709964 262226148 368667407 737334814 1106002221 1474669628 2212004442 4424008884 11428689617 22857379234 34286068851 45714758468 68572137702 137144275404