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134859312 = 24327337397
BaseRepresentation
bin10000000100111…
…00101000110000
3100101202120012100
420002130220300
5234010444222
621214300400
73225166560
oct1002345060
9311676170
10134859312
116a140885
12391b7700
1321c2a513
1413ca6da0
15bc8d4ac
hex809ca30

134859312 has 120 divisors (see below), whose sum is σ = 433705376. Its totient is φ = 38320128.

The previous prime is 134859289. The next prime is 134859343. The reversal of 134859312 is 213958431.

134859312 is a `hidden beast` number, since 13 + 48 + 593 + 12 = 666.

It is a super-2 number, since 2×1348593122 = 36374068066226688, which contains 22 as substring.

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

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, 339498 + ... + 339894.

Almost surely, 2134859312 is an apocalyptic number.

134859312 is a gapful number since it is divisible by the number (12) 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 134859312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216852688).

134859312 is an abundant number, since it is smaller than the sum of its proper divisors (298846064).

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

134859312 is a wasteful number, since it uses less digits than its factorization.

134859312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 134859312 is about 11612.8942128997. The cubic root of 134859312 is about 512.8145197703.

The spelling of 134859312 in words is "one hundred thirty-four million, eight hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 337 397 504 674 794 1008 1011 1191 1348 1588 2022 2359 2382 2696 2779 3033 3176 3573 4044 4718 4764 5392 5558 6066 6352 7077 7146 8088 8337 9436 9528 11116 12132 14154 14292 16176 16674 18872 19056 21231 22232 24264 25011 28308 28584 33348 37744 42462 44464 48528 50022 56616 57168 66696 84924 100044 113232 133392 133789 169848 200088 267578 339696 400176 401367 535156 802734 936523 1070312 1204101 1605468 1873046 2140624 2408202 2809569 3210936 3746092 4816404 5619138 6421872 7492184 8428707 9632808 11238276 14984368 16857414 19265616 22476552 33714828 44953104 67429656 134859312