137648041 has 2 divisors, whose sum is σ = 137648042. Its totient is φ = 137648040.

The previous prime is 137648009. The next prime is 137648047. The reversal of 137648041 is 140846731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132825625 + 4822416 = 11525^2 + 2196^2 .

It is a cyclic number.

It is not a de Polignac number, because 137648041 - 2⁵ = 137648009 is a prime.

It is a super-2 number, since 2×137648041² = 37893966382275362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137647988 and 137648006.

It is not a weakly prime, because it can be changed into another prime (137648047) 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, 68824020 + 68824021.

It is an arithmetic number, because the mean of its divisors is an integer number (68824021).

Almost surely, 2^137648041 is an apocalyptic number.

It is an amenable number.

137648041 is a deficient number, since it is larger than the sum of its proper divisors (1).

137648041 is an equidigital number, since it uses as much as digits as its factorization.

137648041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 137648041 is about 11732.3501908185. The cubic root of 137648041 is about 516.3252273867.

The spelling of 137648041 in words is "one hundred thirty-seven million, six hundred forty-eight thousand, forty-one".