137508262477769 has 2 divisors, whose sum is σ = 137508262477770. Its totient is φ = 137508262477768.

The previous prime is 137508262477739. The next prime is 137508262477829. The reversal of 137508262477769 is 967774262805731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121989484663225 + 15518777814544 = 11044885^2 + 3939388^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137508262477769 is a prime.

It is a super-2 number, since 2×137508262477769² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137508262477696 and 137508262477705.

It is not a weakly prime, because it can be changed into another prime (137508262477739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68754131238884 + 68754131238885.

It is an arithmetic number, because the mean of its divisors is an integer number (68754131238885).

It is a 2-persistent number, because it is pandigital, and so is 2⋅137508262477769 = 275016524955538, but 3⋅137508262477769 = 412524787433307 is not.

Almost surely, 2^{137508262477769} is an apocalyptic number.

It is an amenable number.

137508262477769 is a deficient number, since it is larger than the sum of its proper divisors (1).

137508262477769 is an equidigital number, since it uses as much as digits as its factorization.

137508262477769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1493614080, while the sum is 74.

The spelling of 137508262477769 in words is "one hundred thirty-seven trillion, five hundred eight billion, two hundred sixty-two million, four hundred seventy-seven thousand, seven hundred sixty-nine".