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134735580 = 223257611753
BaseRepresentation
bin10000000011111…
…10011011011100
3100101112021110200
420001332123130
5233443014310
621211503500
73224143050
oct1001763334
9311467420
10134735580
116a066921
1239157b90
1321bb60c5
1413c73c60
15bc669c0
hex807e6dc

134735580 has 144 divisors (see below), whose sum is σ = 475011264. Its totient is φ = 30274560.

The previous prime is 134735569. The next prime is 134735581. The reversal of 134735580 is 85537431.

134735580 = T419 + T420 + ... + T958.

134735580 is a `hidden beast` number, since 1 + 3 + 4 + 73 + 5 + 580 = 666.

134735580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134735581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75984 + ... + 77736.

Almost surely, 2134735580 is an apocalyptic number.

134735580 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 134735580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237505632).

134735580 is an abundant number, since it is smaller than the sum of its proper divisors (340275684).

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

134735580 is a wasteful number, since it uses less digits than its factorization.

134735580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 134735580 is about 11607.5656362564. The cubic root of 134735580 is about 512.6576378057.

The spelling of 134735580 in words is "one hundred thirty-four million, seven hundred thirty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1708 1753 1830 2135 2196 2562 2745 3506 3660 3843 4270 5124 5259 5490 6405 7012 7686 8540 8765 10518 10980 12271 12810 15372 15777 17530 19215 21036 24542 25620 26295 31554 35060 36813 38430 49084 52590 61355 63108 73626 76860 78885 105180 106933 110439 122710 147252 157770 184065 213866 220878 245420 315540 320799 368130 427732 441756 534665 552195 641598 736260 748531 962397 1069330 1104390 1283196 1497062 1603995 1924794 2138660 2208780 2245593 2994124 3207990 3742655 3849588 4491186 4811985 6415980 6736779 7485310 8982372 9623970 11227965 13473558 14970620 19247940 22455930 26947116 33683895 44911860 67367790 134735580