137086748353 has 2 divisors, whose sum is σ = 137086748354. Its totient is φ = 137086748352.

The previous prime is 137086748321. The next prime is 137086748429. The reversal of 137086748353 is 353847680731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77800829184 + 59285919169 = 278928^2 + 243487^2 .

It is a cyclic number.

It is not a de Polignac number, because 137086748353 - 2⁵ = 137086748321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137086748294 and 137086748303.

It is not a weakly prime, because it can be changed into another prime (137086748153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68543374176 + 68543374177.

It is an arithmetic number, because the mean of its divisors is an integer number (68543374177).

Almost surely, 2^137086748353 is an apocalyptic number.

It is an amenable number.

137086748353 is a deficient number, since it is larger than the sum of its proper divisors (1).

137086748353 is an equidigital number, since it uses as much as digits as its factorization.

137086748353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 137086748353 in words is "one hundred thirty-seven billion, eighty-six million, seven hundred forty-eight thousand, three hundred fifty-three".