137221361 has 2 divisors, whose sum is σ = 137221362. Its totient is φ = 137221360.

The previous prime is 137221319. The next prime is 137221367. The reversal of 137221361 is 163122731.

137221361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130667761 + 6553600 = 11431^2 + 2560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137221361 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 137221361.

It is not a weakly prime, because it can be changed into another prime (137221367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68610680 + 68610681.

It is an arithmetic number, because the mean of its divisors is an integer number (68610681).

Almost surely, 2^137221361 is an apocalyptic number.

It is an amenable number.

137221361 is a deficient number, since it is larger than the sum of its proper divisors (1).

137221361 is an equidigital number, since it uses as much as digits as its factorization.

137221361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 26.

The square root of 137221361 is about 11714.1521673572. The cubic root of 137221361 is about 515.7911752903.

The spelling of 137221361 in words is "one hundred thirty-seven million, two hundred twenty-one thousand, three hundred sixty-one".