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137348786413 is a prime number
BaseRepresentation
bin111111111101010100…
…0000010100011101101
3111010112001222021102101
41333322220002203231
54222242242131123
6143032553055101
712631426264426
oct1777250024355
9433461867371
10137348786413
115328189a133
12227519b7491
13cc4b52a467
14690d49864d
15388d0c6aad
hex1ffaa028ed

137348786413 has 2 divisors, whose sum is σ = 137348786414. Its totient is φ = 137348786412.

The previous prime is 137348786387. The next prime is 137348786437. The reversal of 137348786413 is 314687843731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137186529769 + 162256644 = 370387^2 + 12738^2 .

It is an emirp because it is prime and its reverse (314687843731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137348786413 - 213 = 137348778221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137348783413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68674393206 + 68674393207.

It is an arithmetic number, because the mean of its divisors is an integer number (68674393207).

Almost surely, 2137348786413 is an apocalyptic number.

It is an amenable number.

137348786413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137348786413 is an equidigital number, since it uses as much as digits as its factorization.

137348786413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8128512, while the sum is 55.

The spelling of 137348786413 in words is "one hundred thirty-seven billion, three hundred forty-eight million, seven hundred eighty-six thousand, four hundred thirteen".