137233301 has 2 divisors, whose sum is σ = 137233302. Its totient is φ = 137233300.

The previous prime is 137233297. The next prime is 137233303. The reversal of 137233301 is 103332731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103022500 + 34210801 = 10150^2 + 5849^2 .

It is an emirp because it is prime and its reverse (103332731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137233301 - 2² = 137233297 is a prime.

Together with 137233303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137233303) 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, 68616650 + 68616651.

It is an arithmetic number, because the mean of its divisors is an integer number (68616651).

Almost surely, 2^137233301 is an apocalyptic number.

It is an amenable number.

137233301 is a deficient number, since it is larger than the sum of its proper divisors (1).

137233301 is an equidigital number, since it uses as much as digits as its factorization.

137233301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 137233301 is about 11714.6617962278. The cubic root of 137233301 is about 515.8061349826.

The spelling of 137233301 in words is "one hundred thirty-seven million, two hundred thirty-three thousand, three hundred one".