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135000329 is a prime number
BaseRepresentation
bin10000000101111…
…11000100001001
3100102000201122012
420002333010021
5234030002304
621221305305
73226324652
oct1002770411
9312021565
10135000329
116a227822
1239265235
1321c79769
1413d02529
15bcba16e
hex80bf109

135000329 has 2 divisors, whose sum is σ = 135000330. Its totient is φ = 135000328.

The previous prime is 135000311. The next prime is 135000361. The reversal of 135000329 is 923000531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106399225 + 28601104 = 10315^2 + 5348^2 .

It is a cyclic number.

It is not a de Polignac number, because 135000329 - 224 = 118223113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135000389) 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 as a sum of consecutive naturals, namely, 67500164 + 67500165.

It is an arithmetic number, because the mean of its divisors is an integer number (67500165).

Almost surely, 2135000329 is an apocalyptic number.

It is an amenable number.

135000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

135000329 is an equidigital number, since it uses as much as digits as its factorization.

135000329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 135000329 is about 11618.9641965194. The cubic root of 135000329 is about 512.9932007301.

The spelling of 135000329 in words is "one hundred thirty-five million, three hundred twenty-nine", and thus it is an aban number.