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134876040 = 233513312789
BaseRepresentation
bin10000000101000…
…00101110001000
3100101210102010220
420002200232020
5234012013130
621214510040
73225266415
oct1002405610
9311712126
10134876040
116a152402
1239205320
1321c35010
1413cad10c
15bc93410
hex80a0b88

134876040 has 128 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 32117760.

The previous prime is 134876039. The next prime is 134876059. The reversal of 134876040 is 40678431.

It is a junction number, because it is equal to n+sod(n) for n = 134875992 and 134876010.

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, 46966 + ... + 49754.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2134876040 is an apocalyptic number.

134876040 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 134876040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

134876040 is an abundant number, since it is smaller than the sum of its proper divisors (315095160).

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

134876040 is a wasteful number, since it uses less digits than its factorization.

134876040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 134876040 is about 11613.6144244589. The cubic root of 134876040 is about 512.8357221293.

The spelling of 134876040 in words is "one hundred thirty-four million, eight hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 2789 3224 3720 4030 4836 5578 6045 8060 8367 9672 11156 12090 13945 16120 16734 22312 24180 27890 33468 36257 41835 48360 55780 66936 72514 83670 86459 108771 111560 145028 167340 172918 181285 217542 259377 290056 334680 345836 362570 432295 435084 518754 543855 691672 725140 864590 870168 1037508 1087710 1123967 1296885 1450280 1729180 2075016 2175420 2247934 2593770 3371901 3458360 4350840 4495868 5187540 5619835 6743802 8991736 10375080 11239670 13487604 16859505 22479340 26975208 33719010 44958680 67438020 134876040