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134336160 = 25325713327
BaseRepresentation
bin10000000000111…
…00111010100000
3100100202222120100
420000130322200
5233342224120
621155142400
73220560420
oct1000347240
9310688510
10134336160
1169913822
1238ba4a00
1321aa636a
1413bac480
15bbd8490
hex801cea0

134336160 has 144 divisors (see below), whose sum is σ = 523950336. Its totient is φ = 30703104.

The previous prime is 134336143. The next prime is 134336197. The reversal of 134336160 is 61633431.

134336160 is a `hidden beast` number, since 1 + 3 + 43 + 3 + 616 + 0 = 666.

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

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, 3417 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (3638544).

Almost surely, 2134336160 is an apocalyptic number.

134336160 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 134336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261975168).

134336160 is an abundant number, since it is smaller than the sum of its proper divisors (389614176).

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

134336160 is a wasteful number, since it uses less digits than its factorization.

134336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 134336160 is about 11590.3477083304. The cubic root of 134336160 is about 512.1505498031.

Adding to 134336160 its reverse (61633431), we get a palindrome (195969591).

The spelling of 134336160 in words is "one hundred thirty-four million, three hundred thirty-six thousand, one 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 13327 26654 39981 53308 66635 79962 93289 106616 119943 133270 159924 186578 199905 213232 239886 266540 279867 319848 373156 399810 426464 466445 479772 533080 559734 599715 639696 746312 799620 839601 932890 959544 1066160 1119468 1199430 1279392 1399335 1492624 1599240 1679202 1865780 1919088 2132320 2238936 2398860 2798670 2985248 3198480 3358404 3731560 3838176 4198005 4477872 4797720 5597340 6396960 6716808 7463120 8396010 8955744 9595440 11194680 13433616 14926240 16792020 19190880 22389360 26867232 33584040 44778720 67168080 134336160