137182536289 has 2 divisors, whose sum is σ = 137182536290. Its totient is φ = 137182536288.

The previous prime is 137182536259. The next prime is 137182536313. The reversal of 137182536289 is 982635281731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118253454400 + 18929081889 = 343880^2 + 137583^2 .

It is an emirp because it is prime and its reverse (982635281731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137182536289 - 2¹³ = 137182528097 is a prime.

It is not a weakly prime, because it can be changed into another prime (137182536209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68591268144 + 68591268145.

It is an arithmetic number, because the mean of its divisors is an integer number (68591268145).

Almost surely, 2^137182536289 is an apocalyptic number.

It is an amenable number.

137182536289 is a deficient number, since it is larger than the sum of its proper divisors (1).

137182536289 is an equidigital number, since it uses as much as digits as its factorization.

137182536289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4354560, while the sum is 55.

The spelling of 137182536289 in words is "one hundred thirty-seven billion, one hundred eighty-two million, five hundred thirty-six thousand, two hundred eighty-nine".