77746137160129 has 3 divisors (see below), whose sum is σ = 77746145977507. Its totient is φ = 77746128342752.

The previous prime is 77746137160103. The next prime is 77746137160163. The reversal of 77746137160129 is 92106173164777.

The square root of 77746137160129 is 8817377.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 52009265945025 + 25736871215104 = 7211745^2 + 5073152^2 .

It is not a de Polignac number, because 77746137160129 - 2⁷ = 77746137160001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77746137160829) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4408689 + ... + 13226065.

Almost surely, 2^{77746137160129} is an apocalyptic number.

77746137160129 is the 8817377-th square number.

77746137160129 is the 4408689-th centered octagonal number.

It is an amenable number.

77746137160129 is a deficient number, since it is larger than the sum of its proper divisors (8817378).

77746137160129 is an frugal number, since it uses more digits than its factorization.

77746137160129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17634754 (or 8817377 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 61.

The spelling of 77746137160129 in words is "seventy-seven trillion, seven hundred forty-six billion, one hundred thirty-seven million, one hundred sixty thousand, one hundred twenty-nine".