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133545165 = 351361103109
BaseRepresentation
bin1111111010110…
…11110011001101
3100022021210112020
413331123303031
5233141421130
621130200353
73211054335
oct775336315
9308253466
10133545165
1169423506
12388830b9
132188a310
1413a440c5
15bacde10
hex7f5bccd

133545165 has 64 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 63452160.

The previous prime is 133545161. The next prime is 133545187. The reversal of 133545165 is 561545331.

It is not a de Polignac number, because 133545165 - 22 = 133545161 is a prime.

It is a super-2 number, since 2×1335451652 = 35668622189754450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133545161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1225131 + ... + 1225239.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2133545165 is an apocalyptic number.

133545165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133545165 is a deficient number, since it is larger than the sum of its proper divisors (104772915).

133545165 is a wasteful number, since it uses less digits than its factorization.

133545165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its digits is 27000, while the sum is 33.

The square root of 133545165 is about 11556.1743237111. The cubic root of 133545165 is about 511.1433594527.

The spelling of 133545165 in words is "one hundred thirty-three million, five hundred forty-five thousand, one hundred sixty-five".

Divisors: 1 3 5 13 15 39 61 65 103 109 183 195 305 309 327 515 545 793 915 1339 1417 1545 1635 2379 3965 4017 4251 6283 6649 6695 7085 11227 11895 18849 19947 20085 21255 31415 33245 33681 56135 81679 86437 94245 99735 145951 168405 245037 259311 408395 432185 437853 684847 729755 1225185 1296555 2054541 2189265 3424235 8903011 10272705 26709033 44515055 133545165