137820593 has 2 divisors, whose sum is σ = 137820594. Its totient is φ = 137820592.

The previous prime is 137820559. The next prime is 137820629. The reversal of 137820593 is 395028731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119399329 + 18421264 = 10927^2 + 4292^2 .

It is a cyclic number.

It is not a de Polignac number, because 137820593 - 2¹⁰ = 137819569 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137820503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68910296 + 68910297.

It is an arithmetic number, because the mean of its divisors is an integer number (68910297).

Almost surely, 2^137820593 is an apocalyptic number.

It is an amenable number.

137820593 is a deficient number, since it is larger than the sum of its proper divisors (1).

137820593 is an equidigital number, since it uses as much as digits as its factorization.

137820593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 137820593 is about 11739.7015720162. The cubic root of 137820593 is about 516.5408879165.

The spelling of 137820593 in words is "one hundred thirty-seven million, eight hundred twenty thousand, five hundred ninety-three".