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137147 is a prime number
BaseRepresentation
bin100001011110111011
320222010112
4201132323
513342042
62534535
71110563
oct413673
9228115
10137147
119404a
126744b
134a56a
1437da3
152a982
hex217bb

137147 has 2 divisors, whose sum is σ = 137148. Its totient is φ = 137146.

The previous prime is 137143. The next prime is 137153. The reversal of 137147 is 741731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137147 - 22 = 137143 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (137143) 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, 68573 + 68574.

It is an arithmetic number, because the mean of its divisors is an integer number (68574).

2137147 is an apocalyptic number.

137147 is a deficient number, since it is larger than the sum of its proper divisors (1).

137147 is an equidigital number, since it uses as much as digits as its factorization.

137147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 588, while the sum is 23.

The square root of 137147 is about 370.3336333632. Note that the first 3 decimals coincide. The cubic root of 137147 is about 51.5697988443.

Adding to 137147 its reverse (741731), we get a palindrome (878878).

The spelling of 137147 in words is "one hundred thirty-seven thousand, one hundred forty-seven".