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135006085 = 531228097
BaseRepresentation
bin10000000110000…
…00011110000101
3100102001000112101
420003000132011
5234030143320
621221352101
73226350514
oct1003003605
9312030471
10135006085
116a231085
1239268631
1321c7c276
1413d0467b
15bcbbc0a
hex80c0785

135006085 has 12 divisors (see below), whose sum is σ = 167407884. Its totient is φ = 104517120.

The previous prime is 135006083. The next prime is 135006089. The reversal of 135006085 is 580600531.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 119749249 = 3906^2 + 10943^2 .

It is not a de Polignac number, because 135006085 - 21 = 135006083 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135006083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9244 + ... + 18853.

It is an arithmetic number, because the mean of its divisors is an integer number (13950657).

Almost surely, 2135006085 is an apocalyptic number.

It is an amenable number.

135006085 is a deficient number, since it is larger than the sum of its proper divisors (32401799).

135006085 is an equidigital number, since it uses as much as digits as its factorization.

135006085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28164 (or 28133 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 135006085 is about 11619.2118923789. The cubic root of 135006085 is about 513.0004914455. Note that the first 3 decimals are identical.

The spelling of 135006085 in words is "one hundred thirty-five million, six thousand, eighty-five".

Divisors: 1 5 31 155 961 4805 28097 140485 871007 4355035 27001217 135006085