137307353 has 4 divisors (see below), whose sum is σ = 137366580. Its totient is φ = 137248128.

The previous prime is 137307349. The next prime is 137307361. The reversal of 137307353 is 353703731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 353703731 = 211 ⋅1676321.

It can be written as a sum of positive squares in 2 ways, for example, as 60341824 + 76965529 = 7768^2 + 8773^2 .

It is a cyclic number.

It is not a de Polignac number, because 137307353 - 2² = 137307349 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137307253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25988 + ... + 30821.

It is an arithmetic number, because the mean of its divisors is an integer number (34341645).

Almost surely, 2^137307353 is an apocalyptic number.

It is an amenable number.

137307353 is a deficient number, since it is larger than the sum of its proper divisors (59227).

137307353 is an equidigital number, since it uses as much as digits as its factorization.

137307353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59226.

The product of its (nonzero) digits is 19845, while the sum is 32.

The square root of 137307353 is about 11717.8220245914. The cubic root of 137307353 is about 515.8988957711.

The spelling of 137307353 in words is "one hundred thirty-seven million, three hundred seven thousand, three hundred fifty-three".