137663213 has 2 divisors, whose sum is σ = 137663214. Its totient is φ = 137663212.

The previous prime is 137663191. The next prime is 137663221. The reversal of 137663213 is 312366731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136492489 + 1170724 = 11683^2 + 1082^2 .

It is an emirp because it is prime and its reverse (312366731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137663213 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137663213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137660213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68831606 + 68831607.

It is an arithmetic number, because the mean of its divisors is an integer number (68831607).

Almost surely, 2^137663213 is an apocalyptic number.

It is an amenable number.

137663213 is a deficient number, since it is larger than the sum of its proper divisors (1).

137663213 is an equidigital number, since it uses as much as digits as its factorization.

137663213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 32.

The square root of 137663213 is about 11732.9967612712. The cubic root of 137663213 is about 516.3441970199.

The spelling of 137663213 in words is "one hundred thirty-seven million, six hundred sixty-three thousand, two hundred thirteen".