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134457840 = 24335115659
BaseRepresentation
bin10000000001110…
…10100111110000
3100101000011111000
420000322213300
5233410122330
621201522000
73221605236
oct1000724760
9311004430
10134457840
1169997190
1239043300
1321b1986a
1413c00956
15bc0e560
hex803a9f0

134457840 has 160 divisors (see below), whose sum is σ = 505324800. Its totient is φ = 32590080.

The previous prime is 134457809. The next prime is 134457853. The reversal of 134457840 is 48754431.

134457840 is a `hidden beast` number, since 1 + 3 + 44 + 578 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134457795 and 134457804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20931 + ... + 26589.

It is an arithmetic number, because the mean of its divisors is an integer number (3158280).

Almost surely, 2134457840 is an apocalyptic number.

134457840 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 134457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252662400).

134457840 is an abundant number, since it is smaller than the sum of its proper divisors (370866960).

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

134457840 is a wasteful number, since it uses less digits than its factorization.

134457840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 134457840 is about 11595.5957156155. The cubic root of 134457840 is about 512.3051363086.

The spelling of 134457840 in words is "one hundred thirty-four million, four hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5659 5940 7920 11318 11880 16977 22636 23760 28295 33954 45272 50931 56590 62249 67908 84885 90544 101862 113180 124498 135816 152793 169770 186747 203724 226360 248996 254655 271632 305586 311245 339540 373494 407448 452720 497992 509310 560241 611172 622490 679080 746988 763965 814896 933735 995984 1018620 1120482 1222344 1244980 1358160 1493976 1527930 1680723 1867470 2037240 2240964 2444688 2489960 2801205 2987952 3055860 3361446 3734940 4074480 4481928 4979920 5602410 6111720 6722892 7469880 8403615 8963856 11204820 12223440 13445784 14939760 16807230 22409640 26891568 33614460 44819280 67228920 134457840