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134055040 = 2757231301
BaseRepresentation
bin1111111110110…
…00010010000000
3100100020200221111
413333120102000
5233304230130
621145133104
73215310010
oct777302200
9310220844
10134055040
1169741599
1238a8a194
1321a08412
1413b37c40
15bb8002a
hex7fd8480

134055040 has 128 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 43929600.

The previous prime is 134055011. The next prime is 134055041. The reversal of 134055040 is 40550431.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (134055041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102390 + ... + 103690.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2134055040 is an apocalyptic number.

134055040 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 134055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

134055040 is an abundant number, since it is smaller than the sum of its proper divisors (248420480).

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

134055040 is a wasteful number, since it uses less digits than its factorization.

134055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 134055040 is about 11578.2140246240. The cubic root of 134055040 is about 511.7930478709.

The spelling of 134055040 in words is "one hundred thirty-four million, fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 320 322 368 448 460 560 640 644 736 805 896 920 1120 1288 1301 1472 1610 1840 2240 2576 2602 2944 3220 3680 4480 5152 5204 6440 6505 7360 9107 10304 10408 12880 13010 14720 18214 20608 20816 25760 26020 29923 36428 41632 45535 51520 52040 59846 72856 83264 91070 103040 104080 119692 145712 149615 166528 182140 208160 209461 239384 291424 299230 364280 416320 418922 478768 582848 598460 728560 832640 837844 957536 1047305 1165696 1196920 1457120 1675688 1915072 2094610 2393840 2914240 3351376 3830144 4189220 4787680 5828480 6702752 8378440 9575360 13405504 16756880 19150720 26811008 33513760 67027520 134055040