137998241 has 2 divisors, whose sum is σ = 137998242. Its totient is φ = 137998240.

The previous prime is 137998213. The next prime is 137998247. The reversal of 137998241 is 142899731.

137998241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125776225 + 12222016 = 11215^2 + 3496^2 .

It is a cyclic number.

It is not a de Polignac number, because 137998241 - 2⁶ = 137998177 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137998192 and 137998201.

It is not a weakly prime, because it can be changed into another prime (137998247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68999120 + 68999121.

It is an arithmetic number, because the mean of its divisors is an integer number (68999121).

Almost surely, 2^137998241 is an apocalyptic number.

It is an amenable number.

137998241 is a deficient number, since it is larger than the sum of its proper divisors (1).

137998241 is an equidigital number, since it uses as much as digits as its factorization.

137998241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108864, while the sum is 44.

The square root of 137998241 is about 11747.2652562203. The cubic root of 137998241 is about 516.7627296002.

The spelling of 137998241 in words is "one hundred thirty-seven million, nine hundred ninety-eight thousand, two hundred forty-one".