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134803968 = 2931343157
BaseRepresentation
bin10000000100011…
…11001000000000
3100101122202021120
420002033020000
5234002211333
621213152240
73224546325
oct1002171000
9311582246
10134803968
116a103242
123918b680
1321c0b280
1413c90b4c
15bc7bdb3
hex808f200

134803968 has 160 divisors (see below), whose sum is σ = 398266176. Its totient is φ = 40255488.

The previous prime is 134803957. The next prime is 134803979. The reversal of 134803968 is 869308431.

It is a happy number.

134803968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134803957) and next prime (134803979).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858546 + ... + 858702.

Almost surely, 2134803968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199133088).

134803968 is an abundant number, since it is smaller than the sum of its proper divisors (263462208).

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

134803968 is a wasteful number, since it uses less digits than its factorization.

134803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 134803968 is about 11610.5110998612. The cubic root of 134803968 is about 512.7443600124.

The spelling of 134803968 in words is "one hundred thirty-four million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 157 172 192 208 256 258 312 314 344 384 416 471 512 516 559 624 628 688 768 832 942 1032 1118 1248 1256 1376 1536 1664 1677 1884 2041 2064 2236 2496 2512 2752 3328 3354 3768 4082 4128 4472 4992 5024 5504 6123 6656 6708 6751 7536 8164 8256 8944 9984 10048 11008 12246 13416 13502 15072 16328 16512 17888 19968 20096 20253 22016 24492 26832 27004 30144 32656 33024 35776 40192 40506 48984 53664 54008 60288 65312 66048 71552 80384 81012 87763 97968 107328 108016 120576 130624 143104 162024 175526 195936 214656 216032 241152 261248 263289 286208 324048 351052 391872 429312 432064 522496 526578 648096 702104 783744 858624 864128 1044992 1053156 1296192 1404208 1567488 1728256 2106312 2592384 2808416 3134976 3456512 4212624 5184768 5616832 8425248 10369536 11233664 16850496 22467328 33700992 44934656 67401984 134803968