137727387985729 has 2 divisors, whose sum is σ = 137727387985730. Its totient is φ = 137727387985728.

The previous prime is 137727387985727. The next prime is 137727387985783. The reversal of 137727387985729 is 927589783727731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116456364335025 + 21271023650704 = 10791495^2 + 4612052^2 .

It is a cyclic number.

It is not a de Polignac number, because 137727387985729 - 2¹ = 137727387985727 is a prime.

It is a super-2 number, since 2×137727387985729² (a number of 29 digits) contains 22 as substring.

Together with 137727387985727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137727387985723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68863693992864 + 68863693992865.

It is an arithmetic number, because the mean of its divisors is an integer number (68863693992865).

Almost surely, 2^{137727387985729} is an apocalyptic number.

It is an amenable number.

137727387985729 is a deficient number, since it is larger than the sum of its proper divisors (1).

137727387985729 is an equidigital number, since it uses as much as digits as its factorization.

137727387985729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15682947840, while the sum is 85.

The spelling of 137727387985729 in words is "one hundred thirty-seven trillion, seven hundred twenty-seven billion, three hundred eighty-seven million, nine hundred eighty-five thousand, seven hundred twenty-nine".