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134281140 = 22357378641
BaseRepresentation
bin10000000000011…
…11011110110100
3100100200012002120
420000033132310
5233333444030
621154035540
73220241130
oct1000173664
9310605076
10134281140
1169886454
1238b78bb0
1321a872c6
1413b963c0
15bbc7010
hex800f7b4

134281140 has 96 divisors (see below), whose sum is σ = 441364224. Its totient is φ = 29859840.

The previous prime is 134281127. The next prime is 134281187. The reversal of 134281140 is 41182431.

It is a self number, because there is not a number n which added to its sum of digits gives 134281140.

It is a congruent number.

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, 11220 + ... + 19860.

It is an arithmetic number, because the mean of its divisors is an integer number (4597544).

Almost surely, 2134281140 is an apocalyptic number.

134281140 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 134281140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220682112).

134281140 is an abundant number, since it is smaller than the sum of its proper divisors (307083084).

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

134281140 is a wasteful number, since it uses less digits than its factorization.

134281140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8697 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 134281140 is about 11587.9739385278. The cubic root of 134281140 is about 512.0806198326.

It can be divided in two parts, 134281 and 140, that added together give a triangular number (134421 = T518).

The spelling of 134281140 in words is "one hundred thirty-four million, two hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 8641 15540 17282 25923 34564 43205 51846 60487 86410 103692 120974 129615 172820 181461 241948 259230 302435 319717 362922 518460 604870 639434 725844 907305 959151 1209740 1278868 1598585 1814610 1918302 2238019 3197170 3629220 3836604 4476038 4795755 6394340 6714057 8952076 9591510 11190095 13428114 19183020 22380190 26856228 33570285 44760380 67140570 134281140