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134628912 = 24331141691
BaseRepresentation
bin10000000011001…
…00011000110000
3100101022212011000
420001210120300
5233431111122
621205322000
73223220055
oct1001443060
9311285130
10134628912
1169aa3770
1239106300
1321b796a2
1413c4702c
15bc450ac
hex8064630

134628912 has 160 divisors (see below), whose sum is σ = 432472320. Its totient is φ = 39744000.

The previous prime is 134628881. The next prime is 134628937. The reversal of 134628912 is 219826431.

134628912 is a `hidden beast` number, since 13 + 4 + 628 + 9 + 12 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194487 + ... + 195177.

It is an arithmetic number, because the mean of its divisors is an integer number (2702952).

Almost surely, 2134628912 is an apocalyptic number.

134628912 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 134628912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216236160).

134628912 is an abundant number, since it is smaller than the sum of its proper divisors (297843408).

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

134628912 is a wasteful number, since it uses less digits than its factorization.

134628912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 134628912 is about 11602.9699646254. The cubic root of 134628912 is about 512.5223144756.

The spelling of 134628912 in words is "one hundred thirty-four million, six hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 82 88 99 108 123 132 144 164 176 198 216 246 264 297 328 369 396 432 451 492 528 594 656 691 738 792 902 984 1107 1188 1353 1382 1476 1584 1804 1968 2073 2214 2376 2706 2764 2952 3608 4059 4146 4428 4752 5412 5528 5904 6219 7216 7601 8118 8292 8856 10824 11056 12177 12438 15202 16236 16584 17712 18657 21648 22803 24354 24876 28331 30404 32472 33168 37314 45606 48708 49752 56662 60808 64944 68409 74628 84993 91212 97416 99504 113324 121616 136818 149256 169986 182424 194832 205227 226648 254979 273636 298512 311641 339972 364848 410454 453296 509958 547272 623282 679944 764937 820908 934923 1019916 1094544 1246564 1359888 1529874 1641816 1869846 2039832 2493128 2804769 3059748 3283632 3739692 4079664 4986256 5609538 6119496 7479384 8414307 11219076 12238992 14958768 16828614 22438152 33657228 44876304 67314456 134628912