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134158640 = 24571129751
BaseRepresentation
bin1111111111100…
…01100100110000
3100100102222001112
413333301210300
5233321034030
621151252452
73216221030
oct777614460
9310388045
10134158640
1169802410
1238b1a128
1321a43615
1413b638c0
15bba0a95
hex7ff1930

134158640 has 160 divisors (see below), whose sum is σ = 402831360. Its totient is φ = 40320000.

The previous prime is 134158637. The next prime is 134158691. The reversal of 134158640 is 46851431.

It is a junction number, because it is equal to n+sod(n) for n = 134158597 and 134158606.

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, 178265 + ... + 179015.

It is an arithmetic number, because the mean of its divisors is an integer number (2517696).

Almost surely, 2134158640 is an apocalyptic number.

134158640 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 134158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201415680).

134158640 is an abundant number, since it is smaller than the sum of its proper divisors (268672720).

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

134158640 is a wasteful number, since it uses less digits than its factorization.

134158640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 134158640 is about 11582.6870802936. The cubic root of 134158640 is about 511.9248546943.

The spelling of 134158640 in words is "one hundred thirty-four million, one hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 29 35 40 44 55 56 58 70 77 80 88 110 112 116 140 145 154 176 203 220 232 280 290 308 319 385 406 440 464 560 580 616 638 751 770 812 880 1015 1160 1232 1276 1502 1540 1595 1624 2030 2233 2320 2552 3004 3080 3190 3248 3755 4060 4466 5104 5257 6008 6160 6380 7510 8120 8261 8932 10514 11165 12016 12760 15020 16240 16522 17864 21028 21779 22330 25520 26285 30040 33044 35728 41305 42056 43558 44660 52570 57827 60080 66088 82610 84112 87116 89320 105140 108895 115654 132176 152453 165220 174232 178640 210280 217790 231308 239569 289135 304906 330440 348464 420560 435580 462616 479138 578270 609812 660880 762265 871160 925232 958276 1156540 1197845 1219624 1524530 1676983 1742320 1916552 2313080 2395690 2439248 3049060 3353966 3833104 4626160 4791380 6098120 6707932 8384915 9582760 12196240 13415864 16769830 19165520 26831728 33539660 67079320 134158640