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134360460 = 223251367857
BaseRepresentation
bin10000000001000…
…10110110001100
3100100211012220100
420000202312030
5233344013320
621155451100
73221021313
oct1000426614
9310735810
10134360460
1169930003
1238bb6a90
1321ab4440
1413bb727a
15bbe0790
hex8022d8c

134360460 has 144 divisors (see below), whose sum is σ = 445981536. Its totient is φ = 32541696.

The previous prime is 134360441. The next prime is 134360461. The reversal of 134360460 is 64063431.

134360460 is a `hidden beast` number, since 13 + 43 + 604 + 6 + 0 = 666.

It is a super-2 number, since 2×1343604602 = 36105466422823200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134360461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156352 + ... + 157208.

It is an arithmetic number, because the mean of its divisors is an integer number (3097094).

Almost surely, 2134360460 is an apocalyptic number.

134360460 is a gapful number since it is divisible by the number (10) 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 134360460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222990768).

134360460 is an abundant number, since it is smaller than the sum of its proper divisors (311621076).

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

134360460 is a wasteful number, since it uses less digits than its factorization.

134360460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 134360460 is about 11591.3959469945. The cubic root of 134360460 is about 512.1814288259.

The spelling of 134360460 in words is "one hundred thirty-four million, three hundred sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 67 78 90 117 130 134 156 180 195 201 234 260 268 335 390 402 468 585 603 670 780 804 857 871 1005 1170 1206 1340 1714 1742 2010 2340 2412 2571 2613 3015 3428 3484 4020 4285 4355 5142 5226 6030 7713 7839 8570 8710 10284 10452 11141 12060 12855 13065 15426 15678 17140 17420 22282 25710 26130 30852 31356 33423 38565 39195 44564 51420 52260 55705 57419 66846 77130 78390 100269 111410 114838 133692 154260 156780 167115 172257 200538 222820 229676 287095 334230 344514 401076 501345 516771 574190 668460 689028 746447 861285 1002690 1033542 1148380 1492894 1722570 2005380 2067084 2239341 2583855 2985788 3445140 3732235 4478682 5167710 6718023 7464470 8957364 10335420 11196705 13436046 14928940 22393410 26872092 33590115 44786820 67180230 134360460