137369 has 2 divisors, whose sum is σ = 137370. Its totient is φ = 137368.

The previous prime is 137363. The next prime is 137383. The reversal of 137369 is 963731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 34969 = 320^2 + 187^2 .

It is an emirp because it is prime and its reverse (963731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137369 - 2⁴ = 137353 is a prime.

It is a super-2 number, since 2×137369² = 37740484322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 1 + 3⁸ + 3⁸ + 7⁶ + 6² + 9⁴ .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68684 + 68685.

It is an arithmetic number, because the mean of its divisors is an integer number (68685).

2¹³⁷³⁶⁹ is an apocalyptic number.

It is an amenable number.

137369 is a deficient number, since it is larger than the sum of its proper divisors (1).

137369 is an equidigital number, since it uses as much as digits as its factorization.

137369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 29.

The square root of 137369 is about 370.6332418982. The cubic root of 137369 is about 51.5976092076.

The spelling of 137369 in words is "one hundred thirty-seven thousand, three hundred sixty-nine".