137797813 has 2 divisors, whose sum is σ = 137797814. Its totient is φ = 137797812.

The previous prime is 137797811. The next prime is 137797817. The reversal of 137797813 is 318797731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72624484 + 65173329 = 8522^2 + 8073^2 .

It is a cyclic number.

It is not a de Polignac number, because 137797813 - 2¹ = 137797811 is a prime.

Together with 137797811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137797811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68898906 + 68898907.

It is an arithmetic number, because the mean of its divisors is an integer number (68898907).

Almost surely, 2^137797813 is an apocalyptic number.

It is an amenable number.

137797813 is a deficient number, since it is larger than the sum of its proper divisors (1).

137797813 is an equidigital number, since it uses as much as digits as its factorization.

137797813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 222264, while the sum is 46.

The square root of 137797813 is about 11738.7313198659. The cubic root of 137797813 is about 516.5124271243.

The spelling of 137797813 in words is "one hundred thirty-seven million, seven hundred ninety-seven thousand, eight hundred thirteen".