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133281225 = 32527311157
BaseRepresentation
bin1111111000110…
…11010111001001
3100021210101110200
413330123113021
5233104444400
621120402413
73205605000
oct774332711
9307711420
10133281225
1169263180
1238776409
13217c713c
14139b5c37
15ba7ab00
hex7f1b5c9

133281225 has 144 divisors (see below), whose sum is σ = 305635200. Its totient is φ = 55036800.

The previous prime is 133281221. The next prime is 133281259. The reversal of 133281225 is 522182331.

It is not a de Polignac number, because 133281225 - 22 = 133281221 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133281221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 848847 + ... + 849003.

Almost surely, 2133281225 is an apocalyptic number.

133281225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133281225 is an abundant number, since it is smaller than the sum of its proper divisors (172353975).

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

133281225 is a wasteful number, since it uses less digits than its factorization.

133281225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 133281225 is about 11544.7488062755. The cubic root of 133281225 is about 510.8063944118.

The spelling of 133281225 in words is "one hundred thirty-three million, two hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 105 147 157 165 175 225 231 245 275 315 343 385 441 471 495 525 539 693 735 785 825 1029 1099 1155 1225 1413 1575 1617 1715 1727 1925 2205 2355 2475 2695 3087 3297 3465 3675 3773 3925 4851 5145 5181 5495 5775 7065 7693 8085 8575 8635 9891 11025 11319 11775 12089 13475 15435 15543 16485 17325 18865 23079 24255 25725 25905 27475 33957 35325 36267 38465 40425 43175 49455 53851 56595 60445 69237 77175 77715 82425 84623 94325 108801 115395 121275 129525 161553 169785 181335 192325 247275 253869 269255 282975 302225 346185 388575 423115 484659 544005 576975 592361 761607 807765 848925 906675 1269345 1346275 1730925 1777083 2115575 2423295 2720025 2961805 3808035 4038825 5331249 6346725 8885415 12116475 14809025 19040175 26656245 44427075 133281225