137353 has 2 divisors, whose sum is σ = 137354. Its totient is φ = 137352.

The previous prime is 137341. The next prime is 137359. The reversal of 137353 is 353731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100489 + 36864 = 317^2 + 192^2 .

It is a cyclic number.

It is not a de Polignac number, because 137353 - 2⁵ = 137321 is a prime.

It is not a weakly prime, because it can be changed into another prime (137359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68676 + 68677.

It is an arithmetic number, because the mean of its divisors is an integer number (68677).

2¹³⁷³⁵³ is an apocalyptic number.

It is an amenable number.

137353 is a deficient number, since it is larger than the sum of its proper divisors (1).

137353 is an equidigital number, since it uses as much as digits as its factorization.

137353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 945, while the sum is 22.

The square root of 137353 is about 370.6116565895. The cubic root of 137353 is about 51.5956058594.

The spelling of 137353 in words is "one hundred thirty-seven thousand, three hundred fifty-three".