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134655840 = 25325118501
BaseRepresentation
bin10000000011010…
…10111101100000
3100101101020002100
420001222331200
5233432441330
621210050400
73223361424
oct1001527540
9311336070
10134655840
116a011a20
1239119a00
1321b88a17
1413c52b84
15bc4d060
hex806af60

134655840 has 144 divisors (see below), whose sum is σ = 501345936. Its totient is φ = 32640000.

The previous prime is 134655803. The next prime is 134655841. The reversal of 134655840 is 48556431.

It is a happy number.

134655840 is a `hidden beast` number, since 13 + 4 + 65 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1346558402 = 36264390492211200, which contains 22 as substring.

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 = 134655795 and 134655804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134655841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11590 + ... + 20090.

It is an arithmetic number, because the mean of its divisors is an integer number (3481569).

Almost surely, 2134655840 is an apocalyptic number.

134655840 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 134655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250672968).

134655840 is an abundant number, since it is smaller than the sum of its proper divisors (366690096).

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

134655840 is a wasteful number, since it uses less digits than its factorization.

134655840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8533 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 134655840 is about 11604.1302991650. The cubic root of 134655840 is about 512.5564831659.

The spelling of 134655840 in words is "one hundred thirty-four million, six hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 8501 15840 17002 25503 34004 42505 51006 68008 76509 85010 93511 102012 127515 136016 153018 170020 187022 204024 255030 272032 280533 306036 340040 374044 382545 408048 467555 510060 561066 612072 680080 748088 765090 816096 841599 935110 1020120 1122132 1224144 1360160 1402665 1496176 1530180 1683198 1870220 2040240 2244264 2448288 2805330 2992352 3060360 3366396 3740440 4080480 4207995 4488528 5610660 6120720 6732792 7480880 8415990 8977056 11221320 12241440 13465584 14961760 16831980 22442640 26931168 33663960 44885280 67327920 134655840