137007289 has 2 divisors, whose sum is σ = 137007290. Its totient is φ = 137007288.

The previous prime is 137007257. The next prime is 137007307. The reversal of 137007289 is 982700731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69438889 + 67568400 = 8333^2 + 8220^2 .

It is an emirp because it is prime and its reverse (982700731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137007289 - 2⁵ = 137007257 is a prime.

It is not a weakly prime, because it can be changed into another prime (137007989) 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, 68503644 + 68503645.

It is an arithmetic number, because the mean of its divisors is an integer number (68503645).

Almost surely, 2^137007289 is an apocalyptic number.

It is an amenable number.

137007289 is a deficient number, since it is larger than the sum of its proper divisors (1).

137007289 is an equidigital number, since it uses as much as digits as its factorization.

137007289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 137007289 is about 11705.0112772265. The cubic root of 137007289 is about 515.5228159138.

The spelling of 137007289 in words is "one hundred thirty-seven million, seven thousand, two hundred eighty-nine".