77134508361 has 15 divisors (see below), whose sum is σ = 115229357661. Its totient is φ = 51421339188.

The previous prime is 77134508359. The next prime is 77134508401. The reversal of 77134508361 is 16380543177.

The square root of 77134508361 is 277731.

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

77134508361 is a `hidden beast` number, since 7 + 7 + 134 + 508 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 77134508361 - 2¹ = 77134508359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77134508351) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2484150 + ... + 2515008.

Almost surely, 2^77134508361 is an apocalyptic number.

77134508361 is the 277731-st square number.

77134508361 is the 138866-th centered octagonal number.

It is an amenable number.

77134508361 is a deficient number, since it is larger than the sum of its proper divisors (38094849300).

77134508361 is an frugal number, since it uses more digits than its factorization.

77134508361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61730 (or 30862 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 77134508361 in words is "seventy-seven billion, one hundred thirty-four million, five hundred eight thousand, three hundred sixty-one".