137137841 has 2 divisors, whose sum is σ = 137137842. Its totient is φ = 137137840.

The previous prime is 137137789. The next prime is 137137843. The reversal of 137137841 is 148731731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136773025 + 364816 = 11695^2 + 604^2 .

It is a cyclic number.

It is not a de Polignac number, because 137137841 - 2¹⁰ = 137136817 is a prime.

Together with 137137843, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137137843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68568920 + 68568921.

It is an arithmetic number, because the mean of its divisors is an integer number (68568921).

Almost surely, 2^137137841 is an apocalyptic number.

It is an amenable number.

137137841 is a deficient number, since it is larger than the sum of its proper divisors (1).

137137841 is an equidigital number, since it uses as much as digits as its factorization.

137137841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14112, while the sum is 35.

The square root of 137137841 is about 11710.5867060536. The cubic root of 137137841 is about 515.6865083453.

The spelling of 137137841 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, eight hundred forty-one".