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135006133 is a prime number
BaseRepresentation
bin10000000110000…
…00011110110101
3100102001000121011
420003000132311
5234030144013
621221352221
73226350613
oct1003003665
9312030534
10135006133
116a231119
1239268671
1321c7c2b2
1413d046b3
15bcbbc3d
hex80c07b5

135006133 has 2 divisors, whose sum is σ = 135006134. Its totient is φ = 135006132.

The previous prime is 135006121. The next prime is 135006143. The reversal of 135006133 is 331600531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130370724 + 4635409 = 11418^2 + 2153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135006133 is a prime.

It is a super-2 number, since 2×1350061332 = 36453311895227378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135006103) 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, 67503066 + 67503067.

It is an arithmetic number, because the mean of its divisors is an integer number (67503067).

Almost surely, 2135006133 is an apocalyptic number.

It is an amenable number.

135006133 is a deficient number, since it is larger than the sum of its proper divisors (1).

135006133 is an equidigital number, since it uses as much as digits as its factorization.

135006133 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 22.

The square root of 135006133 is about 11619.2139579233. The cubic root of 135006133 is about 513.0005522428. Note that the first 3 decimals are identical.

Adding to 135006133 its reverse (331600531), we get a palindrome (466606664).

The spelling of 135006133 in words is "one hundred thirty-five million, six thousand, one hundred thirty-three".