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136272041 is a prime number
BaseRepresentation
bin10000001111101…
…01100010101001
3100111102100002122
420013311202221
5234341201131
621304441025
73243202403
oct1007654251
9314370078
10136272041
116aa16224
1239779175
1322303559
1414153b73
15be6bd7b
hex81f58a9

136272041 has 2 divisors, whose sum is σ = 136272042. Its totient is φ = 136272040.

The previous prime is 136272023. The next prime is 136272049. The reversal of 136272041 is 140272631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114918400 + 21353641 = 10720^2 + 4621^2 .

It is an emirp because it is prime and its reverse (140272631) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-136272041 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 136272041.

It is not a weakly prime, because it can be changed into another prime (136272049) 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, 68136020 + 68136021.

It is an arithmetic number, because the mean of its divisors is an integer number (68136021).

Almost surely, 2136272041 is an apocalyptic number.

It is an amenable number.

136272041 is a deficient number, since it is larger than the sum of its proper divisors (1).

136272041 is an equidigital number, since it uses as much as digits as its factorization.

136272041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 136272041 is about 11673.5616244572. The cubic root of 136272041 is about 514.5989789812.

The spelling of 136272041 in words is "one hundred thirty-six million, two hundred seventy-two thousand, forty-one".