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137512538790 = 235111724512039
BaseRepresentation
bin1000000000010001100…
…0101101001010100110
3111010221111002202110020
42000010120231022212
54223111202220130
6143101122540010
712635455202544
oct2000430551246
9433844082406
10137512538790
1153356274780
1222798807606
13cc76432b63
146927122d94
15389c670e10
hex200462d2a6

137512538790 has 64 divisors (see below), whose sum is σ = 381211246080. Its totient is φ = 31375408640.

The previous prime is 137512538777. The next prime is 137512538831. The reversal of 137512538790 is 97835215731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12250410 + ... + 12261629.

It is an arithmetic number, because the mean of its divisors is an integer number (5956425720).

Almost surely, 2137512538790 is an apocalyptic number.

137512538790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137512538790 is an abundant number, since it is smaller than the sum of its proper divisors (243698707290).

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

137512538790 is a wasteful number, since it uses less digits than its factorization.

137512538790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24512077.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 137512538790 in words is "one hundred thirty-seven billion, five hundred twelve million, five hundred thirty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 5610 24512039 49024078 73536117 122560195 147072234 245120390 269632429 367680585 416704663 539264858 735361170 808897287 833409326 1250113989 1348162145 1617794574 2083523315 2500227978 2696324290 4044486435 4167046630 4583751293 6250569945 8088972870 9167502586 12501139890 13751253879 22918756465 27502507758 45837512930 68756269395 137512538790