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137450973229812 = 2232113173153379769
BaseRepresentation
bin11111010000001011001100…
…011011101111001011110100
3200000200011222122200000002100
4133100023030123233023310
5121003444043121323222
61204200034432542100
740644335152162314
oct3720131433571364
9600604878600070
10137450973229812
113a8836a3059980
12134bab049b1930
135b90756ab4b98
1425d293c267444
1510d56366ca4ac
hex7d02cc6ef2f4

137450973229812 has 144 divisors (see below), whose sum is σ = 396617998533120. Its totient is φ = 39756035865600.

The previous prime is 137450973229811. The next prime is 137450973229831. The reversal of 137450973229812 is 218922379054731.

It is a happy number.

137450973229812 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 509 + 7 + 3 + 22 + 98 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137450973229812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137450973229811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75793737 + ... + 77586032.

It is an arithmetic number, because the mean of its divisors is an integer number (2754291656480).

Almost surely, 2137450973229812 is an apocalyptic number.

137450973229812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137450973229812 is an abundant number, since it is smaller than the sum of its proper divisors (259167025303308).

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

137450973229812 is a wasteful number, since it uses less digits than its factorization.

137450973229812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153379894 (or 153379889 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 137450973229812 in words is "one hundred thirty-seven trillion, four hundred fifty billion, nine hundred seventy-three million, two hundred twenty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 73 93 99 124 132 146 186 198 219 279 292 341 372 396 438 558 657 682 803 876 1023 1116 1314 1364 1606 2046 2263 2409 2628 3069 3212 4092 4526 4818 6138 6789 7227 9052 9636 12276 13578 14454 20367 24893 27156 28908 40734 49786 74679 81468 99572 149358 224037 298716 448074 896148 153379769 306759538 460139307 613519076 920278614 1380417921 1687177459 1840557228 2760835842 3374354918 4754772839 5061532377 5521671684 6748709836 9509545678 10123064754 11196723137 14264318517 15184597131 19019091356 20246129508 22393446274 28528637034 30369194262 33590169411 42792955551 44786892548 52302501229 57057274068 60738388524 67180338822 85585911102 100770508233 104605002458 123163954507 134360677644 156907503687 171171822204 201541016466 209210004916 246327909014 313815007374 347098417247 369491863521 403082032932 470722511061 492655818028 627630014748 694196834494 738983727042 941445022122 1041295251741 1108475590563 1388393668988 1477967454084 1882890044244 2082590503482 2216951181126 3123885755223 3818082589717 4165181006964 4433902362252 6247771510446 7636165179434 11454247769151 12495543020892 15272330358868 22908495538302 34362743307453 45816991076604 68725486614906 137450973229812