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135205165 = 51710115749
BaseRepresentation
bin10000000111100…
…01000100101101
3100102102010121201
420003301010231
5234103031130
621225525501
73231140104
oct1003610455
9312363551
10135205165
116a357707
1239343891
132201ba74
1413d5703b
15bd0abca
hex80f112d

135205165 has 16 divisors (see below), whose sum is σ = 173502000. Its totient is φ = 100787200.

The previous prime is 135205157. The next prime is 135205171. The reversal of 135205165 is 561502531.

It can be written as a sum of positive squares in 8 ways, for example, as 343396 + 134861769 = 586^2 + 11613^2 .

It is not a de Polignac number, because 135205165 - 23 = 135205157 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711 + ... + 16459.

It is an arithmetic number, because the mean of its divisors is an integer number (10843875).

Almost surely, 2135205165 is an apocalyptic number.

It is an amenable number.

135205165 is a deficient number, since it is larger than the sum of its proper divisors (38296835).

135205165 is a wasteful number, since it uses less digits than its factorization.

135205165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 135205165 is about 11627.7755826297. The cubic root of 135205165 is about 513.2525244792.

Adding to 135205165 its reverse (561502531), we get a palindrome (696707696).

The spelling of 135205165 in words is "one hundred thirty-five million, two hundred five thousand, one hundred sixty-five".

Divisors: 1 5 17 85 101 505 1717 8585 15749 78745 267733 1338665 1590649 7953245 27041033 135205165