137233361 has 2 divisors, whose sum is σ = 137233362. Its totient is φ = 137233360.

The previous prime is 137233319. The next prime is 137233363. The reversal of 137233361 is 163332731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114490000 + 22743361 = 10700^2 + 4769^2 .

It is a cyclic number.

It is not a de Polignac number, because 137233361 - 2⁶ = 137233297 is a prime.

It is a super-4 number, since 4×137233361⁴ (a number of 34 digits) contains 4444 as substring.

Together with 137233363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137233363) 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, 68616680 + 68616681.

It is an arithmetic number, because the mean of its divisors is an integer number (68616681).

Almost surely, 2^137233361 is an apocalyptic number.

It is an amenable number.

137233361 is a deficient number, since it is larger than the sum of its proper divisors (1).

137233361 is an equidigital number, since it uses as much as digits as its factorization.

137233361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 29.

The square root of 137233361 is about 11714.6643571209. The cubic root of 137233361 is about 515.8062101548.

The spelling of 137233361 in words is "one hundred thirty-seven million, two hundred thirty-three thousand, three hundred sixty-one".