80728152129 has 9 divisors (see below), whose sum is σ = 116608562083. Its totient is φ = 53818199832.

The previous prime is 80728152091. The next prime is 80728152143. The reversal of 80728152129 is 92125182708.

The square root of 80728152129 is 284127.

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

80728152129 is a `hidden beast` number, since 80 + 7 + 28 + 1 + 521 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48608343729 + 32119808400 = 220473^2 + 179220^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-80728152129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80728152149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 805027 + ... + 899735.

Almost surely, 2^80728152129 is an apocalyptic number.

80728152129 is the 284127-th square number.

80728152129 is the 142064-th centered octagonal number.

It is an amenable number.

80728152129 is a deficient number, since it is larger than the sum of its proper divisors (35880409954).

80728152129 is an frugal number, since it uses more digits than its factorization.

80728152129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189424 (or 94712 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 80728152129 in words is "eighty billion, seven hundred twenty-eight million, one hundred fifty-two thousand, one hundred twenty-nine".