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134255968 = 25711232103
BaseRepresentation
bin10000000000010…
…01010101100000
3100100121220120021
420000021111200
5233332142333
621153323224
73220104550
oct1000112540
9310556507
10134255968
1169869550
1238b66514
1321a78a02
1413b8b160
15bbbe82d
hex8009560

134255968 has 144 divisors (see below), whose sum is σ = 347832576. Its totient is φ = 49547520.

The previous prime is 134255963. The next prime is 134255981. The reversal of 134255968 is 869552431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134255963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1303405 + ... + 1303507.

It is an arithmetic number, because the mean of its divisors is an integer number (2415504).

Almost surely, 2134255968 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 134255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173916288).

134255968 is an abundant number, since it is smaller than the sum of its proper divisors (213576608).

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

134255968 is a wasteful number, since it uses less digits than its factorization.

134255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 134255968 is about 11586.8877616036. The cubic root of 134255968 is about 512.0486200573.

The spelling of 134255968 in words is "one hundred thirty-four million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 103 112 154 161 176 184 206 224 253 308 322 352 368 412 506 529 616 644 721 736 824 1012 1058 1133 1232 1288 1442 1648 1771 2024 2116 2266 2369 2464 2576 2884 3296 3542 3703 4048 4232 4532 4738 5152 5768 5819 7084 7406 7931 8096 8464 9064 9476 11536 11638 14168 14812 15862 16583 16928 18128 18952 23072 23276 26059 28336 29624 31724 33166 36256 37904 40733 46552 52118 54487 56672 59248 63448 66332 75808 81466 93104 104236 108974 118496 126896 132664 162932 182413 186208 208472 217948 253792 265328 325864 364826 381409 416944 435896 530656 599357 651728 729652 762818 833888 871792 1198714 1303456 1459304 1525636 1743584 2397428 2918608 3051272 4195499 4794856 5837216 6102544 8390998 9589712 12205088 16781996 19179424 33563992 67127984 134255968