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129137538560 = 295591396151
BaseRepresentation
bin111100001000100110…
…0100111011000000000
3110100022211001122221112
41320101030213120000
54103433202213220
6135154105342452
712221101652342
oct1702114473000
9410284048845
10129137538560
114a848857088
122103ba97a28
13c2402c2514
146370b21292
15355c29e5c5
hex1e11327600

129137538560 has 160 divisors (see below), whose sum is σ = 317192198400. Its totient is φ = 50405990400.

The previous prime is 129137538511. The next prime is 129137538571. The reversal of 129137538560 is 65835731921.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 129137538499 and 129137538508.

It is a congruent number.

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, 20991485 + ... + 20997635.

It is an arithmetic number, because the mean of its divisors is an integer number (1982451240).

Almost surely, 2129137538560 is an apocalyptic number.

129137538560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129137538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158596099200).

129137538560 is an abundant number, since it is smaller than the sum of its proper divisors (188054659840).

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

129137538560 is an equidigital number, since it uses as much as digits as its factorization.

129137538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The spelling of 129137538560 in words is "one hundred twenty-nine billion, one hundred thirty-seven million, five hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 139 160 236 256 278 295 320 472 512 556 590 640 695 944 1112 1180 1280 1390 1888 2224 2360 2560 2780 3776 4448 4720 5560 6151 7552 8201 8896 9440 11120 12302 15104 16402 17792 18880 22240 24604 30208 30755 32804 35584 37760 41005 44480 49208 61510 65608 71168 75520 82010 88960 98416 123020 131216 151040 164020 177920 196832 246040 262432 328040 355840 362909 393664 492080 524864 656080 725818 787328 854989 984160 1049728 1312160 1451636 1574656 1709978 1814545 1968320 2099456 2624320 2903272 3149312 3419956 3629090 3936640 4198912 4274945 5248640 5806544 6839912 7258180 7873280 8549890 10497280 11613088 13679824 14516360 15746560 17099780 20994560 23226176 27359648 29032720 34199560 46452352 50444351 54719296 58065440 68399120 92904704 100888702 109438592 116130880 136798240 185809408 201777404 218877184 232261760 252221755 273596480 403554808 437754368 464523520 504443510 547192960 807109616 929047040 1008887020 1094385920 1614219232 2017774040 2188771840 3228438464 4035548080 6456876928 8071096160 12913753856 16142192320 25827507712 32284384640 64568769280 129137538560