137733689 has 2 divisors, whose sum is σ = 137733690. Its totient is φ = 137733688.

The previous prime is 137733667. The next prime is 137733691. The reversal of 137733689 is 986337731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137475625 + 258064 = 11725^2 + 508^2 .

It is a cyclic number.

It is not a de Polignac number, because 137733689 - 2⁸ = 137733433 is a prime.

Together with 137733691, 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 (137730689) 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 as a sum of consecutive naturals, namely, 68866844 + 68866845.

It is an arithmetic number, because the mean of its divisors is an integer number (68866845).

Almost surely, 2^137733689 is an apocalyptic number.

It is an amenable number.

137733689 is a deficient number, since it is larger than the sum of its proper divisors (1).

137733689 is an equidigital number, since it uses as much as digits as its factorization.

137733689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 571536, while the sum is 47.

The square root of 137733689 is about 11735.9997017723. Note that the first 3 decimals coincide. The cubic root of 137733689 is about 516.4322952725.

The spelling of 137733689 in words is "one hundred thirty-seven million, seven hundred thirty-three thousand, six hundred eighty-nine".