137203193 has 2 divisors, whose sum is σ = 137203194. Its totient is φ = 137203192.

The previous prime is 137203177. The next prime is 137203217. The reversal of 137203193 is 391302731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133934329 + 3268864 = 11573^2 + 1808^2 .

It is an emirp because it is prime and its reverse (391302731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137203193 - 2⁴ = 137203177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137203103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68601596 + 68601597.

It is an arithmetic number, because the mean of its divisors is an integer number (68601597).

Almost surely, 2^137203193 is an apocalyptic number.

It is an amenable number.

137203193 is a deficient number, since it is larger than the sum of its proper divisors (1).

137203193 is an equidigital number, since it uses as much as digits as its factorization.

137203193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 137203193 is about 11713.3766694323. The cubic root of 137203193 is about 515.7684108373.

The spelling of 137203193 in words is "one hundred thirty-seven million, two hundred three thousand, one hundred ninety-three".