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134463840 = 2535725717
BaseRepresentation
bin10000000001111…
…00000101100000
3100101000110201020
420000330011200
5233410320330
621202005440
73221631600
oct1000740540
9311013636
10134463840
11699a0745
1239046880
1321b1c504
1413c02c00
15bc11210
hex803c160

134463840 has 144 divisors (see below), whose sum is σ = 492800112. Its totient is φ = 30729216.

The previous prime is 134463821. The next prime is 134463869. The reversal of 134463840 is 48364431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20662 + ... + 26378.

It is an arithmetic number, because the mean of its divisors is an integer number (3422223).

Almost surely, 2134463840 is an apocalyptic number.

134463840 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 134463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246400056).

134463840 is an abundant number, since it is smaller than the sum of its proper divisors (358336272).

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

134463840 is a wasteful number, since it uses less digits than its factorization.

134463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 134463840 is about 11595.8544316493. The cubic root of 134463840 is about 512.3127565041.

The spelling of 134463840 in words is "one hundred thirty-four million, four hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5717 5880 7840 11434 11760 17151 22868 23520 28585 34302 40019 45736 57170 68604 80038 85755 91472 114340 120057 137208 160076 171510 182944 200095 228680 240114 274416 280133 320152 343020 400190 457360 480228 548832 560266 600285 640304 686040 800380 840399 914720 960456 1120532 1200570 1280608 1372080 1400665 1600760 1680798 1920912 2241064 2401140 2744160 2801330 3201520 3361596 3841824 4201995 4482128 4802280 5602660 6403040 6723192 8403990 8964256 9604560 11205320 13446384 16807980 19209120 22410640 26892768 33615960 44821280 67231920 134463840