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137148041 is a prime number
BaseRepresentation
bin10000010110010…
…11011010001001
3100120001211202002
420023023122021
5240102214131
621335320345
73253511342
oct1013133211
9316054662
10137148041
1170464398
1239b200b5
132254c1b4
14143010c9
15c0916cb
hex82cb689

137148041 has 2 divisors, whose sum is σ = 137148042. Its totient is φ = 137148040.

The previous prime is 137148031. The next prime is 137148049. The reversal of 137148041 is 140841731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76930441 + 60217600 = 8771^2 + 7760^2 .

It is a cyclic number.

It is not a de Polignac number, because 137148041 - 26 = 137147977 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137147995 and 137148013.

It is not a weakly prime, because it can be changed into another prime (137148049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68574020 + 68574021.

It is an arithmetic number, because the mean of its divisors is an integer number (68574021).

Almost surely, 2137148041 is an apocalyptic number.

It is an amenable number.

137148041 is a deficient number, since it is larger than the sum of its proper divisors (1).

137148041 is an equidigital number, since it uses as much as digits as its factorization.

137148041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 137148041 is about 11711.0222013281. The cubic root of 137148041 is about 515.6992932240.

Adding to 137148041 its reverse (140841731), we get a palindrome (277989772).

The spelling of 137148041 in words is "one hundred thirty-seven million, one hundred forty-eight thousand, forty-one".