137341 has 2 divisors, whose sum is σ = 137342. Its totient is φ = 137340.

The previous prime is 137339. The next prime is 137353. The reversal of 137341 is 143731.

137341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136900 + 441 = 370^2 + 21^2 .

It is a cyclic number.

It is not a de Polignac number, because 137341 - 2¹ = 137339 is a prime.

Together with 137339, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 1 + 3 + 3⁹ + 7⁶ + 4 + 1 .

137341 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68670 + 68671.

It is an arithmetic number, because the mean of its divisors is an integer number (68671).

2¹³⁷³⁴¹ is an apocalyptic number.

It is an amenable number.

137341 is a deficient number, since it is larger than the sum of its proper divisors (1).

137341 is an equidigital number, since it uses as much as digits as its factorization.

137341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 19.

The square root of 137341 is about 370.5954667829. The cubic root of 137341 is about 51.5941032462.

The spelling of 137341 in words is "one hundred thirty-seven thousand, three hundred forty-one".