Search a number
-
+
134884512 = 25327232909
BaseRepresentation
bin10000000101000…
…10110010100000
3100101210211202200
420002202302200
5234012301022
621215013200
73225333210
oct1002426240
9311724680
10134884512
116a158804
123920a200
1321c38b29
1413cb2240
15bc95bac
hex80a2ca0

134884512 has 144 divisors (see below), whose sum is σ = 457591680. Its totient is φ = 36850176.

The previous prime is 134884487. The next prime is 134884549. The reversal of 134884512 is 215488431.

134884512 is a `hidden beast` number, since 134 + 8 + 8 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44914 + ... + 47822.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2134884512 is an apocalyptic number.

134884512 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 134884512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228795840).

134884512 is an abundant number, since it is smaller than the sum of its proper divisors (322707168).

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

134884512 is a wasteful number, since it uses less digits than its factorization.

134884512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2944 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 134884512 is about 11613.9791630604. The cubic root of 134884512 is about 512.8464595275.

The spelling of 134884512 in words is "one hundred thirty-four million, eight hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 2909 3312 3864 5152 5796 5818 6624 7728 8727 11592 11636 15456 17454 20363 23184 23272 26181 34908 40726 46368 46544 52362 61089 66907 69816 81452 93088 104724 122178 133814 139632 162904 183267 200721 209448 244356 267628 279264 325808 366534 401442 418896 468349 488712 535256 602163 651616 733068 802884 837792 936698 977424 1070512 1204326 1405047 1466136 1605768 1873396 1954848 2141024 2408652 2810094 2932272 3211536 3746792 4215141 4817304 5620188 5864544 6423072 7493584 8430282 9634608 11240376 14987168 16860564 19269216 22480752 33721128 44961504 67442256 134884512