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134670816 = 2533723181
BaseRepresentation
bin10000000011011…
…10100111100000
3100101101222122000
420001232213200
5233433431231
621210244000
73223453200
oct1001564740
9311358560
10134670816
116a0221a5
1239126600
1321b92797
1413c58400
15bc526e6
hex806e9e0

134670816 has 144 divisors (see below), whose sum is σ = 457062480. Its totient is φ = 38465280.

The previous prime is 134670791. The next prime is 134670847. The reversal of 134670816 is 618076431.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40746 + ... + 43926.

It is an arithmetic number, because the mean of its divisors is an integer number (3174045).

Almost surely, 2134670816 is an apocalyptic number.

134670816 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 134670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228531240).

134670816 is an abundant number, since it is smaller than the sum of its proper divisors (322391664).

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

134670816 is a wasteful number, since it uses less digits than its factorization.

134670816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 134670816 is about 11604.7755687045. The cubic root of 134670816 is about 512.5754841028.

The spelling of 134670816 in words is "one hundred thirty-four million, six hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3181 3528 4704 5292 6048 6362 7056 9543 10584 12724 14112 19086 21168 22267 25448 28629 38172 42336 44534 50896 57258 66801 76344 85887 89068 101792 114516 133602 152688 155869 171774 178136 200403 229032 267204 305376 311738 343548 356272 400806 458064 467607 534408 601209 623476 687096 712544 801612 916128 935214 1068816 1202418 1246952 1374192 1402821 1603224 1870428 2137632 2404836 2493904 2748384 2805642 3206448 3740856 4208463 4809672 4987808 5611284 6412896 7481712 8416926 9619344 11222568 14963424 16833852 19238688 22445136 33667704 44890272 67335408 134670816