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135814009 is a prime number
BaseRepresentation
bin10000001100001…
…01101101111001
3100110120001210111
420012011231321
5234232022014
621250544321
73236254132
oct1006055571
9313501714
10135814009
116a733091
12395980a1
13221a2c26
1414074c89
15bdcb2c4
hex8185b79

135814009 has 2 divisors, whose sum is σ = 135814010. Its totient is φ = 135814008.

The previous prime is 135813971. The next prime is 135814027. The reversal of 135814009 is 900418531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81054009 + 54760000 = 9003^2 + 7400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135814009 is a prime.

It is not a weakly prime, because it can be changed into another prime (135814709) 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 as a sum of consecutive naturals, namely, 67907004 + 67907005.

It is an arithmetic number, because the mean of its divisors is an integer number (67907005).

Almost surely, 2135814009 is an apocalyptic number.

It is an amenable number.

135814009 is a deficient number, since it is larger than the sum of its proper divisors (1).

135814009 is an equidigital number, since it uses as much as digits as its factorization.

135814009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 135814009 is about 11653.9267631129. The cubic root of 135814009 is about 514.0217821471.

The spelling of 135814009 in words is "one hundred thirty-five million, eight hundred fourteen thousand, nine".