137407393 has 2 divisors, whose sum is σ = 137407394. Its totient is φ = 137407392.

The previous prime is 137407339. The next prime is 137407397. The reversal of 137407393 is 393704731.

Together with previous prime (137407339) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98069409 + 39337984 = 9903^2 + 6272^2 .

It is a cyclic number.

It is not a de Polignac number, because 137407393 - 2¹³ = 137399201 is a prime.

It is not a weakly prime, because it can be changed into another prime (137407397) 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, 68703696 + 68703697.

It is an arithmetic number, because the mean of its divisors is an integer number (68703697).

Almost surely, 2^137407393 is an apocalyptic number.

It is an amenable number.

137407393 is a deficient number, since it is larger than the sum of its proper divisors (1).

137407393 is an equidigital number, since it uses as much as digits as its factorization.

137407393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 137407393 is about 11722.0899587062. The cubic root of 137407393 is about 516.0241573230.

The spelling of 137407393 in words is "one hundred thirty-seven million, four hundred seven thousand, three hundred ninety-three".