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137808589752 = 233214947128053
BaseRepresentation
bin1000000001011000001…
…0000011001110111000
3111011201010011201000200
42000112002003032320
54224212444333002
6143150340202200
712646011454101
oct2002602031670
9434633151020
10137808589752
11534983a1199
122285b999360
13ccc287a342
1469545893a8
1538b864eb1c
hex20160833b8

137808589752 has 48 divisors (see below), whose sum is σ = 373259482440. Its totient is φ = 45932764608.

The previous prime is 137808589739. The next prime is 137808589753. The reversal of 137808589752 is 257985808731.

It is a self number, because there is not a number n which added to its sum of digits gives 137808589752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137808589753) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1012158 + ... + 1140210.

Almost surely, 2137808589752 is an apocalyptic number.

137808589752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137808589752 is an abundant number, since it is smaller than the sum of its proper divisors (235450892688).

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

137808589752 is a wasteful number, since it uses less digits than its factorization.

137808589752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143012 (or 143005 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 137808589752 in words is "one hundred thirty-seven billion, eight hundred eight million, five hundred eighty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14947 29894 44841 59788 89682 119576 128053 134523 179364 256106 269046 358728 384159 512212 538092 768318 1024424 1076184 1152477 1536636 2304954 3073272 4609908 9219816 1914008191 3828016382 5742024573 7656032764 11484049146 15312065528 17226073719 22968098292 34452147438 45936196584 68904294876 137808589752