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134133104556 = 2232111816073083
BaseRepresentation
bin111110011101011110…
…1001011111110101100
3110211012222002201012100
41330322331023332230
54144201033321211
6141341521535100
712455641401603
oct1747275137654
9424188081170
10134133104556
1151981705820
1221bb4aa4490
13c85825ab29
1466c638aa3a
153750b2c156
hex1f3af4bfac

134133104556 has 144 divisors (see below), whose sum is σ = 372659309568. Its totient is φ = 40342147200.

The previous prime is 134133104513. The next prime is 134133104579. The reversal of 134133104556 is 655401331431.

134133104556 is digitally balanced in base 3, 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 self number, because there is not a number n which added to its sum of digits gives 134133104556.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43505791 + ... + 43508873.

It is an arithmetic number, because the mean of its divisors is an integer number (2587911872).

Almost surely, 2134133104556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134133104556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186329654784).

134133104556 is an abundant number, since it is smaller than the sum of its proper divisors (238526205012).

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

134133104556 is a wasteful number, since it uses less digits than its factorization.

134133104556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 134133104556 its reverse (655401331431), we get a palindrome (789534435987).

The spelling of 134133104556 in words is "one hundred thirty-four billion, one hundred thirty-three million, one hundred four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 607 724 1086 1214 1629 1821 1991 2172 2428 3083 3258 3642 3982 5463 5973 6166 6516 6677 7284 7964 9249 10926 11946 12332 13354 17919 18498 20031 21852 23892 26708 27747 33913 35838 36996 40062 55494 60093 67826 71676 80124 101739 109867 110988 120186 135652 203478 219734 240372 305217 329601 406956 439468 558023 610434 659202 988803 1116046 1208537 1220868 1318404 1674069 1871381 1977606 2232092 2417074 3348138 3625611 3742762 3955212 4834148 5022207 5614143 6138253 6696276 7251222 7485524 10044414 10876833 11228286 12276506 14502444 16842429 18414759 20088828 20585191 21753666 22456572 24553012 33684858 36829518 41170382 43507332 55244277 61755573 67369716 73659036 82340764 110488554 123511146 185266719 220977108 247022292 338719961 370533438 677439922 741066876 1016159883 1354879844 2032319766 3048479649 3725919571 4064639532 6096959298 7451839142 11177758713 12193918596 14903678284 22355517426 33533276139 44711034852 67066552278 134133104556