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135185843 = 13131163487
BaseRepresentation
bin10000000111011…
…00010110110011
3100102101011010002
420003230112303
5234101421333
621225300215
73231026552
oct1003542663
9312334102
10135185843
116a344141
123933466b
1322013030
1413d4dd99
15bd050e8
hex80ec5b3

135185843 has 16 divisors (see below), whose sum is σ = 147899136. Its totient is φ = 122821920.

The previous prime is 135185837. The next prime is 135185857. The reversal of 135185843 is 348581531.

It is not a de Polignac number, because 135185843 - 226 = 68076979 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135185797 and 135185806.

It is not an unprimeable number, because it can be changed into a prime (135185243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277346 + ... + 277832.

It is an arithmetic number, because the mean of its divisors is an integer number (9243696).

Almost surely, 2135185843 is an apocalyptic number.

135185843 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135185843 is a deficient number, since it is larger than the sum of its proper divisors (12713293).

135185843 is a wasteful number, since it uses less digits than its factorization.

135185843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794.

The product of its digits is 57600, while the sum is 38.

The square root of 135185843 is about 11626.9446975549. The cubic root of 135185843 is about 513.2280738903.

The spelling of 135185843 in words is "one hundred thirty-five million, one hundred eighty-five thousand, eight hundred forty-three".

Divisors: 1 13 131 163 487 1703 2119 6331 21353 63797 79381 277589 829361 1031953 10398911 135185843