129679141905625 has 135 divisors (see below), whose sum is σ = 180532344061377. Its totient is φ = 93076478352000.

The previous prime is 129679141905619. The next prime is 129679141905629. The reversal of 129679141905625 is 526509141976921.

The square root of 129679141905625 is 11387675.

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

It can be written as a sum of positive squares in 22 ways, for example, as 123541868973721 + 6137272931904 = 11114939^2 + 2477352^2 .

It is not a de Polignac number, because 129679141905625 - 2¹⁵ = 129679141872857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129679141905629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 136936791402 + ... + 136936792348.

Almost surely, 2^{129679141905625} is an apocalyptic number.

129679141905625 is the 11387675-th square number.

129679141905625 is the 5693838-th centered octagonal number.

It is an amenable number.

129679141905625 is a deficient number, since it is larger than the sum of its proper divisors (50853202155752).

129679141905625 is an frugal number, since it uses more digits than its factorization.

129679141905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 67.

The spelling of 129679141905625 in words is "one hundred twenty-nine trillion, six hundred seventy-nine billion, one hundred forty-one million, nine hundred five thousand, six hundred twenty-five".