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134868600 = 233252312417
BaseRepresentation
bin10000000100111…
…10111001111000
3100101210000221100
420002132321320
5234011243400
621214411400
73225235626
oct1002367170
9311700840
10134868600
116a147859
1239200b60
1321c31809
1413caa516
15bc91100
hex809ee78

134868600 has 144 divisors (see below), whose sum is σ = 467737920. Its totient is φ = 34790400.

The previous prime is 134868581. The next prime is 134868611. The reversal of 134868600 is 6868431.

It is a happy number.

134868600 is a `hidden beast` number, since 1 + 3 + 48 + 6 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54592 + ... + 57008.

It is an arithmetic number, because the mean of its divisors is an integer number (3248180).

Almost surely, 2134868600 is an apocalyptic number.

134868600 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 134868600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233868960).

134868600 is an abundant number, since it is smaller than the sum of its proper divisors (332869320).

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

134868600 is a wasteful number, since it uses less digits than its factorization.

134868600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 134868600 is about 11613.2941063249. The cubic root of 134868600 is about 512.8262923152.

The spelling of 134868600 in words is "one hundred thirty-four million, eight hundred sixty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2417 2790 3100 3720 4650 4834 5580 6200 6975 7251 9300 9668 11160 12085 13950 14502 18600 19336 21753 24170 27900 29004 36255 43506 48340 55800 58008 60425 72510 74927 87012 96680 108765 120850 145020 149854 174024 181275 217530 224781 241700 290040 299708 362550 374635 435060 449562 483400 543825 599416 674343 725100 749270 870120 899124 1087650 1123905 1348686 1450200 1498540 1798248 1873175 2175300 2247810 2697372 2997080 3371715 3746350 4350600 4495620 5394744 5619525 6743430 7492700 8991240 11239050 13486860 14985400 16858575 22478100 26973720 33717150 44956200 67434300 134868600