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136180017 = 32371014049
BaseRepresentation
bin10000001110111…
…11000100110001
3100111020122212100
420013133010301
5234330230032
621302451013
73242340201
oct1007370461
9314218770
10136180017
116a963076
1239733a69
13222a06bc
141412c401
15be4e97c
hex81df131

136180017 has 24 divisors (see below), whose sum is σ = 204071400. Its totient is φ = 87436800.

The previous prime is 136180007. The next prime is 136180019. The reversal of 136180017 is 710081631.

It can be written as a sum of positive squares in 4 ways, for example, as 67223601 + 68956416 = 8199^2 + 8304^2 .

It is not a de Polignac number, because 136180017 - 27 = 136179889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136180019) 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 23 ways as a sum of consecutive naturals, for example, 31609 + ... + 35657.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2136180017 is an apocalyptic number.

It is an amenable number.

136180017 is a deficient number, since it is larger than the sum of its proper divisors (67891383).

136180017 is a wasteful number, since it uses less digits than its factorization.

136180017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 136180017 is about 11669.6194025341. The cubic root of 136180017 is about 514.4831173079.

The spelling of 136180017 in words is "one hundred thirty-six million, one hundred eighty thousand, seventeen".

Divisors: 1 3 9 37 101 111 303 333 909 3737 4049 11211 12147 33633 36441 149813 408949 449439 1226847 1348317 3680541 15131113 45393339 136180017