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134912736 = 2533722307
BaseRepresentation
bin10000000101010…
…01101011100000
3100101212021111000
420002221223200
5234014201421
621215352000
73225511410
oct1002515340
9311767430
10134912736
116a177a32
1239222600
1321c4892a
1413cbc640
15bc9e226
hex80a9ae0

134912736 has 96 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 38544768.

The previous prime is 134912707. The next prime is 134912737. The reversal of 134912736 is 637219431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134912736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134912737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5106 + ... + 17201.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2134912736 is an apocalyptic number.

134912736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134912736 is an abundant number, since it is smaller than the sum of its proper divisors (314816544).

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

134912736 is a wasteful number, since it uses less digits than its factorization.

134912736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22333 (or 22319 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 134912736 is about 11615.1941869260. The cubic root of 134912736 is about 512.8822273331.

The spelling of 134912736 in words is "one hundred thirty-four million, nine hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 22307 44614 66921 89228 133842 156149 178456 200763 267684 312298 356912 401526 468447 535368 602289 624596 713824 803052 936894 1070736 1204578 1249192 1405341 1606104 1873788 2141472 2409156 2498384 2810682 3212208 3747576 4216023 4818312 4996768 5621364 6424416 7495152 8432046 9636624 11242728 14990304 16864092 19273248 22485456 33728184 44970912 67456368 134912736