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134723130 = 23517241379
BaseRepresentation
bin10000000011110…
…11011000111010
3100101111122101120
420001323120322
5233442120010
621211330110
73224061543
oct1001733072
9311448346
10134723130
116a058533
1239150936
1321bb0539
1413c6d4ca
15bc62e70
hex807b63a

134723130 has 96 divisors (see below), whose sum is σ = 352779840. Its totient is φ = 32901120.

The previous prime is 134723123. The next prime is 134723189. The reversal of 134723130 is 31327431.

It is a self number, because there is not a number n which added to its sum of digits gives 134723130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355281 + ... + 355659.

It is an arithmetic number, because the mean of its divisors is an integer number (3674790).

Almost surely, 2134723130 is an apocalyptic number.

134723130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134723130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176389920).

134723130 is an abundant number, since it is smaller than the sum of its proper divisors (218056710).

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

134723130 is a wasteful number, since it uses less digits than its factorization.

134723130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 134723130 is about 11607.0293357086. The cubic root of 134723130 is about 512.6418469156.

It can be divided in two parts, 1347231 and 30, that added together give a triangular number (1347261 = T1641).

The spelling of 134723130 in words is "one hundred thirty-four million, seven hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 289 379 410 510 578 615 697 758 867 1137 1230 1394 1445 1734 1895 2091 2274 2890 3485 3790 4182 4335 5685 6443 6970 8670 10455 11370 11849 12886 15539 19329 20910 23698 31078 32215 35547 38658 46617 59245 64430 71094 77695 93234 96645 109531 118490 155390 177735 193290 219062 233085 264163 328593 355470 466170 528326 547655 657186 792489 1095310 1320815 1584978 1642965 2641630 3285930 3962445 4490771 7924890 8981542 13472313 22453855 26944626 44907710 67361565 134723130