129728714000 has 80 divisors (see below), whose sum is σ = 317209005360. Its totient is φ = 51308364800.

The previous prime is 129728713973. The next prime is 129728714023. The reversal of 129728714000 is 417827921.

It can be written as a sum of positive squares in 8 ways, for example, as 37878501376 + 91850212624 = 194624^2 + 303068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 186407 + ... + 542406.

It is an arithmetic number, because the mean of its divisors is an integer number (3965112567).

Almost surely, 2^129728714000 is an apocalyptic number.

129728714000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129728714000 is an abundant number, since it is smaller than the sum of its proper divisors (187480291360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129728714000 is an equidigital number, since it uses as much as digits as its factorization.

129728714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728925 (or 728909 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 129728714000 in words is "one hundred twenty-nine billion, seven hundred twenty-eight million, seven hundred fourteen thousand".