137224193 has 2 divisors, whose sum is σ = 137224194. Its totient is φ = 137224192.

The previous prime is 137224181. The next prime is 137224237. The reversal of 137224193 is 391422731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124032769 + 13191424 = 11137^2 + 3632^2 .

It is a cyclic number.

It is not a de Polignac number, because 137224193 - 2⁴ = 137224177 is a prime.

It is not a weakly prime, because it can be changed into another prime (137224103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68612096 + 68612097.

It is an arithmetic number, because the mean of its divisors is an integer number (68612097).

Almost surely, 2^137224193 is an apocalyptic number.

It is an amenable number.

137224193 is a deficient number, since it is larger than the sum of its proper divisors (1).

137224193 is an equidigital number, since it uses as much as digits as its factorization.

137224193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 137224193 is about 11714.2730461604. The cubic root of 137224193 is about 515.7947235973.

The spelling of 137224193 in words is "one hundred thirty-seven million, two hundred twenty-four thousand, one hundred ninety-three".