Search a number
-
+
133541856 = 2532729463
BaseRepresentation
bin1111111010110…
…10111111100000
3100022021121222200
413331122333200
5233141314411
621130133200
73211041600
oct775327740
9308247880
10133541856
1169420a78
1238881200
1321888966
1413a42c00
15bacce56
hex7f5afe0

133541856 has 108 divisors (see below), whose sum is σ = 441807912. Its totient is φ = 38150784.

The previous prime is 133541819. The next prime is 133541867. The reversal of 133541856 is 658145331.

133541856 is a `hidden beast` number, since 1 + 33 + 541 + 85 + 6 = 666.

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 133541856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9381 + ... + 18843.

It is an arithmetic number, because the mean of its divisors is an integer number (4090814).

Almost surely, 2133541856 is an apocalyptic number.

133541856 is a gapful number since it is divisible by the number (16) 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 133541856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220903956).

133541856 is an abundant number, since it is smaller than the sum of its proper divisors (308266056).

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

133541856 is a wasteful number, since it uses less digits than its factorization.

133541856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9475 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 133541856 is about 11556.0311526060. The cubic root of 133541856 is about 511.1391376916.

The spelling of 133541856 in words is "one hundred thirty-three million, five hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 9463 14112 18926 28389 37852 56778 66241 75704 85167 113556 132482 151408 170334 198723 227112 264964 302816 340668 397446 454224 463687 529928 596169 681336 794892 908448 927374 1059856 1192338 1362672 1391061 1589784 1854748 2119712 2384676 2725344 2782122 3179568 3709496 4173183 4769352 5564244 6359136 7418992 8346366 9538704 11128488 14837984 16692732 19077408 22256976 33385464 44513952 66770928 133541856