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137865300012 = 2232111403324809
BaseRepresentation
bin1000000001100101101…
…0011000100000101100
3111011212001212212212200
42000121122120200230
54224322004100022
6143200123501500
712650300500116
oct2003132304054
9434761785780
10137865300012
1153517405480
1222876987890
1310001544acb
14695bd0c3b6
1538bd602bac
hex201969882c

137865300012 has 72 divisors (see below), whose sum is σ = 380216425680. Its totient is φ = 41772702720.

The previous prime is 137865300007. The next prime is 137865300031. The reversal of 137865300012 is 210003568731.

137865300012 is a `hidden beast` number, since 1 + 37 + 86 + 530 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137865300012.

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 23 ways as a sum of consecutive naturals, for example, 5544664 + ... + 5569472.

It is an arithmetic number, because the mean of its divisors is an integer number (5280783690).

Almost surely, 2137865300012 is an apocalyptic number.

137865300012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137865300012 is an abundant number, since it is smaller than the sum of its proper divisors (242351125668).

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

137865300012 is a wasteful number, since it uses less digits than its factorization.

137865300012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38863 (or 38858 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 137865300012 its reverse (210003568731), we get a palindrome (347868868743).

The spelling of 137865300012 in words is "one hundred thirty-seven billion, eight hundred sixty-five million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 14033 24809 28066 42099 49618 56132 74427 84198 99236 126297 148854 154363 168396 223281 252594 272899 297708 308726 446562 463089 505188 545798 617452 818697 893124 926178 1091596 1389267 1637394 1852356 2456091 2778534 3274788 4912182 5557068 9824364 348144697 696289394 1044434091 1392578788 2088868182 3133302273 3829591667 4177736364 6266604546 7659183334 11488775001 12533209092 15318366668 22977550002 34466325003 45955100004 68932650006 137865300012