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134218656 = 253211133259
BaseRepresentation
bin10000000000000…
…00001110100000
3100100120000101100
420000000032200
5233324444111
621152434400
73216561015
oct1000001640
9310500340
10134218656
1169843510
1238b48a00
1321a64a30
1413b7b70c
15bbb3756
hex80003a0

134218656 has 144 divisors (see below), whose sum is σ = 448549920. Its totient is φ = 37532160.

The previous prime is 134218627. The next prime is 134218703. The reversal of 134218656 is 656812431.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 134218656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39555 + ... + 42813.

It is an arithmetic number, because the mean of its divisors is an integer number (3114930).

Almost surely, 2134218656 is an apocalyptic number.

134218656 is a gapful number since it is divisible by the number (16) 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 134218656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224274960).

134218656 is an abundant number, since it is smaller than the sum of its proper divisors (314331264).

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

134218656 is a wasteful number, since it uses less digits than its factorization.

134218656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3288 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 134218656 is about 11585.2775538612. The cubic root of 134218656 is about 512.0011800103.

The spelling of 134218656 in words is "one hundred thirty-four million, two hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3259 3432 3744 4576 5148 6518 6864 9777 10296 13036 13728 19554 20592 26072 29331 35849 39108 41184 42367 52144 58662 71698 78216 84734 104288 107547 117324 127101 143396 156432 169468 215094 234648 254202 286792 312864 322641 338936 381303 430188 466037 469296 508404 573584 645282 677872 762606 860376 932074 938592 1016808 1147168 1290564 1355744 1398111 1525212 1720752 1864148 2033616 2581128 2796222 3050424 3441504 3728296 4067232 4194333 5162256 5592444 6100848 7456592 8388666 10324512 11184888 12201696 14913184 16777332 22369776 33554664 44739552 67109328 134218656