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137345612376 = 23376128574691
BaseRepresentation
bin111111111101001101…
…1111011101001011000
3111010111212000000110110
41333322123323221120
54222240434044001
6143032401044320
712631360304610
oct1777233735130
9433455000413
10137345612376
1153280021465
12227509266a0
13cc4a98882b
14690ccada40
15388cb9b3d6
hex1ffa6fba58

137345612376 has 128 divisors (see below), whose sum is σ = 399073743360. Its totient is φ = 38576563200.

The previous prime is 137345612363. The next prime is 137345612399. The reversal of 137345612376 is 673216543731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29276191 + ... + 29280881.

It is an arithmetic number, because the mean of its divisors is an integer number (3117763620).

Almost surely, 2137345612376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137345612376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199536871680).

137345612376 is an abundant number, since it is smaller than the sum of its proper divisors (261728130984).

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

137345612376 is a wasteful number, since it uses less digits than its factorization.

137345612376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625 (or 7621 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 48.

The spelling of 137345612376 in words is "one hundred thirty-seven billion, three hundred forty-five million, six hundred twelve thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 2857 3416 4691 5124 5714 8571 9382 10248 11428 14073 17142 18764 19999 22856 28146 32837 34284 37528 39998 56292 59997 65674 68568 79996 98511 112584 119994 131348 159992 174277 197022 239988 262696 286151 348554 394044 479976 522831 572302 697108 788088 858453 1045662 1144604 1219939 1394216 1716906 2003057 2091324 2289208 2439878 3433812 3659817 4006114 4182648 4879756 6009171 6867624 7319634 8012228 9759512 12018342 13402187 14639268 16024456 24036684 26804374 29278536 40206561 48073368 53608748 80413122 93815309 107217496 160826244 187630618 281445927 321652488 375261236 562891854 750522472 817533407 1125783708 1635066814 2251567416 2452600221 3270133628 4905200442 5722733849 6540267256 9810400884 11445467698 17168201547 19620801768 22890935396 34336403094 45781870792 68672806188 137345612376