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134229987360 = 25325713316467
BaseRepresentation
bin111110100000010111…
…0110001000000100000
3110211110201101212102100
41331000232301000200
54144400334043420
6141355302250400
712461226032010
oct1750056610040
9424421355370
10134229987360
1151a21368257
1222021426a00
13c87234c831
1466d51a9c40
1537593b8190
hex1f40bb1020

134229987360 has 144 divisors (see below), whose sum is σ = 523496990016. Its totient is φ = 30681137664.

The previous prime is 134229987347. The next prime is 134229987431. The reversal of 134229987360 is 63789922431.

134229987360 is a `hidden beast` number, since 1 + 3 + 422 + 9 + 98 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 134229987297 and 134229987306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6648154 + ... + 6668313.

It is an arithmetic number, because the mean of its divisors is an integer number (3635395764).

Almost surely, 2134229987360 is an apocalyptic number.

134229987360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134229987360 is an abundant number, since it is smaller than the sum of its proper divisors (389267002656).

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

134229987360 is a wasteful number, since it uses less digits than its factorization.

134229987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316495 (or 13316484 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 134229987360 in words is "one hundred thirty-four billion, two hundred twenty-nine million, nine hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 13316467 26632934 39949401 53265868 66582335 79898802 93215269 106531736 119848203 133164670 159797604 186430538 199747005 213063472 239696406 266329340 279645807 319595208 372861076 399494010 426126944 466076345 479392812 532658680 559291614 599241015 639190416 745722152 798988020 838937421 932152690 958785624 1065317360 1118583228 1198482030 1278380832 1398229035 1491444304 1597976040 1677874842 1864305380 1917571248 2130634720 2237166456 2396964060 2796458070 2982888608 3195952080 3355749684 3728610760 3835142496 4194687105 4474332912 4793928120 5592916140 6391904160 6711499368 7457221520 8389374210 8948665824 9587856240 11185832280 13422998736 14914443040 16778748420 19175712480 22371664560 26845997472 33557496840 44743329120 67114993680 134229987360