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135566705 = 5374161293
BaseRepresentation
bin10000001010010…
…01010101110001
3100110002111120002
420011021111301
5234201113310
621241355345
73234204131
oct1005112561
9313074502
10135566705
116a5842aa
1239498b55
13221174b1
141400cac1
15bd7cda5
hex8149571

135566705 has 32 divisors (see below), whose sum is σ = 174551328. Its totient is φ = 100915200.

The previous prime is 135566701. The next prime is 135566707. The reversal of 135566705 is 507665531.

It can be written as a sum of positive squares in 16 ways, for example, as 36385024 + 99181681 = 6032^2 + 9959^2 .

It is not a de Polignac number, because 135566705 - 22 = 135566701 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135566701) 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 31 ways as a sum of consecutive naturals, for example, 462539 + ... + 462831.

It is an arithmetic number, because the mean of its divisors is an integer number (5454729).

Almost surely, 2135566705 is an apocalyptic number.

It is an amenable number.

135566705 is a deficient number, since it is larger than the sum of its proper divisors (38984623).

135566705 is a wasteful number, since it uses less digits than its factorization.

135566705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 94500, while the sum is 38.

The square root of 135566705 is about 11643.3115993690. The cubic root of 135566705 is about 513.7095981552.

The spelling of 135566705 in words is "one hundred thirty-five million, five hundred sixty-six thousand, seven hundred five".

Divisors: 1 5 37 41 61 185 205 293 305 1465 1517 2257 2501 7585 10841 11285 12013 12505 17873 54205 60065 89365 92537 444481 462685 661301 732793 2222405 3306505 3663965 27113341 135566705