137312261 has 2 divisors, whose sum is σ = 137312262. Its totient is φ = 137312260.

The previous prime is 137312257. The next prime is 137312309. The reversal of 137312261 is 162213731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125104225 + 12208036 = 11185^2 + 3494^2 .

It is a cyclic number.

It is not a de Polignac number, because 137312261 - 2² = 137312257 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137312261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137312251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68656130 + 68656131.

It is an arithmetic number, because the mean of its divisors is an integer number (68656131).

Almost surely, 2^137312261 is an apocalyptic number.

It is an amenable number.

137312261 is a deficient number, since it is larger than the sum of its proper divisors (1).

137312261 is an equidigital number, since it uses as much as digits as its factorization.

137312261 is an odious number, because the sum of its binary digits is odd.

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

The square root of 137312261 is about 11718.0314473038. The cubic root of 137312261 is about 515.9050425689.

Adding to 137312261 its reverse (162213731), we get a palindrome (299525992).

The spelling of 137312261 in words is "one hundred thirty-seven million, three hundred twelve thousand, two hundred sixty-one".