Search a number
-
+
134812512 = 25365779
BaseRepresentation
bin10000000100100…
…01001101100000
3100101200012000000
420002101031200
5234003000022
621213300000
73224613252
oct1002211540
9311605000
10134812512
116a1096aa
1239194600
1321c12123
1413c93cd2
15bc7e6ac
hex8091360

134812512 has 84 divisors (see below), whose sum is σ = 398005020. Its totient is φ = 44929728.

The previous prime is 134812507. The next prime is 134812541. The reversal of 134812512 is 215218431.

134812512 is a `hidden beast` number, since 134 + 8 + 12 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 20439 + ... + 26217.

It is an arithmetic number, because the mean of its divisors is an integer number (4738155).

Almost surely, 2134812512 is an apocalyptic number.

134812512 is a gapful number since it is divisible by the number (12) 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 134812512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199002510).

134812512 is an abundant number, since it is smaller than the sum of its proper divisors (263192508).

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

134812512 is an frugal number, since it uses more digits than its factorization.

134812512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5784 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 134812512 is about 11610.8790364899. The cubic root of 134812512 is about 512.7551925205.

The spelling of 134812512 in words is "one hundred thirty-four million, eight hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5779 5832 7776 11558 11664 17337 23116 23328 34674 46232 52011 69348 92464 104022 138696 156033 184928 208044 277392 312066 416088 468099 554784 624132 832176 936198 1248264 1404297 1664352 1872396 2496528 2808594 3744792 4212891 4993056 5617188 7489584 8425782 11234376 14979168 16851564 22468752 33703128 44937504 67406256 134812512