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134505294 = 237211219199
BaseRepresentation
bin10000000010001…
…10001101001110
3100101002120120120
420001012031032
5233413132134
621202525410
73222163500
oct1001061516
9311076516
10134505294
1169a19900
1239066866
1321b35341
1413c13d70
15bc1d649
hex804634e

134505294 has 144 divisors (see below), whose sum is σ = 363888000. Its totient is φ = 32931360.

The previous prime is 134505289. The next prime is 134505299. The reversal of 134505294 is 492505431.

It is an interprime number because it is at equal distance from previous prime (134505289) and next prime (134505299).

It is a super-2 number, since 2×1345052942 = 36183348228052872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134505299) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 675807 + ... + 676005.

It is an arithmetic number, because the mean of its divisors is an integer number (2527000).

Almost surely, 2134505294 is an apocalyptic number.

134505294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134505294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181944000).

134505294 is an abundant number, since it is smaller than the sum of its proper divisors (229382706).

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

134505294 is a wasteful number, since it uses less digits than its factorization.

134505294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 134505294 is about 11597.6417430441. The cubic root of 134505294 is about 512.3653982427.

The spelling of 134505294 in words is "one hundred thirty-four million, five hundred five thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 121 133 147 154 199 209 231 242 266 294 363 398 399 418 462 539 597 627 726 798 847 931 1078 1194 1254 1393 1463 1617 1694 1862 2189 2299 2541 2786 2793 2926 3234 3781 4179 4378 4389 4598 5082 5586 5929 6567 6897 7562 8358 8778 9751 10241 11343 11858 13134 13794 15323 16093 17787 19502 20482 22686 24079 26467 29253 30646 30723 32186 35574 41591 45969 48158 48279 52934 58506 61446 72237 79401 83182 91938 96558 107261 112651 124773 144474 158802 168553 185269 214522 225302 249546 291137 321783 337106 337953 370538 457501 505659 555807 582274 643566 675906 873411 915002 1011318 1111614 1179871 1372503 1746822 2037959 2359742 2745006 3202507 3539613 4075918 6113877 6405014 7079226 9607521 12227754 19215042 22417549 44835098 67252647 134505294