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135339165 = 32513231349
BaseRepresentation
bin10000001000100…
…01110010011101
3100102122221102200
420010101302131
5234121323130
621232442113
73232235553
oct1004216235
9312587380
10135339165
116a439355
12393a9339
1322067a60
1413d8dbd3
15bd35760
hex8111c9d

135339165 has 24 divisors (see below), whose sum is σ = 252634200. Its totient is φ = 66628224.

The previous prime is 135339163. The next prime is 135339167. The reversal of 135339165 is 561933531.

It is an interprime number because it is at equal distance from previous prime (135339163) and next prime (135339167).

It can be written as a sum of positive squares in 4 ways, for example, as 5447556 + 129891609 = 2334^2 + 11397^2 .

It is not a de Polignac number, because 135339165 - 21 = 135339163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135339163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 115090 + ... + 116259.

It is an arithmetic number, because the mean of its divisors is an integer number (10526425).

Almost surely, 2135339165 is an apocalyptic number.

135339165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135339165 is a deficient number, since it is larger than the sum of its proper divisors (117295035).

135339165 is a wasteful number, since it uses less digits than its factorization.

135339165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231373 (or 231370 counting only the distinct ones).

The product of its digits is 36450, while the sum is 36.

The square root of 135339165 is about 11633.5362207714. The cubic root of 135339165 is about 513.4220276927.

The spelling of 135339165 in words is "one hundred thirty-five million, three hundred thirty-nine thousand, one hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 231349 694047 1156745 2082141 3007537 3470235 9022611 10410705 15037685 27067833 45113055 135339165