Search a number
-
+
133744095 = 3352513947
BaseRepresentation
bin1111111100011…
…00010111011111
3100022122220102000
413332030113133
5233214302340
621134333343
73212543322
oct776142737
9308586360
10133744095
1169549a11
123895a253
1321929a24
1413a967b9
15bb1cd30
hex7f8c5df

133744095 has 32 divisors (see below), whose sum is σ = 238775040. Its totient is φ = 71028000.

The previous prime is 133744067. The next prime is 133744111. The reversal of 133744095 is 590447331.

It is not a de Polignac number, because 133744095 - 25 = 133744063 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 31912 + ... + 35858.

It is an arithmetic number, because the mean of its divisors is an integer number (7461720).

Almost surely, 2133744095 is an apocalyptic number.

133744095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133744095 is a deficient number, since it is larger than the sum of its proper divisors (105030945).

133744095 is a wasteful number, since it uses less digits than its factorization.

133744095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133744095 is about 11564.7782079900. The cubic root of 133744095 is about 511.3970346833.

The spelling of 133744095 in words is "one hundred thirty-three million, seven hundred forty-four thousand, ninety-five".

Divisors: 1 3 5 9 15 27 45 135 251 753 1255 2259 3765 3947 6777 11295 11841 19735 33885 35523 59205 106569 177615 532845 990697 2972091 4953485 8916273 14860455 26748819 44581365 133744095