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137168014080 = 2835291231753
BaseRepresentation
bin111111110111111011…
…0011100101100000000
3111010001110211002101210
41333233312130230000
54221410002422310
6143003014330120
712624102611406
oct1775766345400
9433043732353
10137168014080
115319984a209
1222701359940
13cc1cc45b96
1468d347d476
15387c2b9820
hex1fefd9cb00

137168014080 has 144 divisors (see below), whose sum is σ = 453186931680. Its totient is φ = 35316793344.

The previous prime is 137168014063. The next prime is 137168014133. The reversal of 137168014080 is 80410861731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504517 + ... + 727236.

It is an arithmetic number, because the mean of its divisors is an integer number (3147131470).

Almost surely, 2137168014080 is an apocalyptic number.

137168014080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137168014080 is an abundant number, since it is smaller than the sum of its proper divisors (316018917600).

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

137168014080 is a wasteful number, since it uses less digits than its factorization.

137168014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231806 (or 1231792 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 137168014080 in words is "one hundred thirty-seven billion, one hundred sixty-eight million, fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7424 9280 11136 13920 18560 22272 27840 37120 55680 111360 1231753 2463506 3695259 4927012 6158765 7390518 9854024 12317530 14781036 18476295 19708048 24635060 29562072 35720837 36952590 39416096 49270120 59124144 71441674 73905180 78832192 98540240 107162511 118248288 142883348 147810360 157664384 178604185 197080480 214325022 236496576 285766696 295620720 315328768 357208370 394160960 428650044 472993152 535812555 571533392 591241440 714416740 788321920 857300088 945986304 1071625110 1143066784 1182482880 1428833480 1576643840 1714600176 2143250220 2286133568 2364965760 2857666960 3429200352 4286500440 4572267136 4729931520 5715333920 6858400704 8573000880 9144534272 11430667840 13716801408 17146001760 22861335680 27433602816 34292003520 45722671360 68584007040 137168014080