129382906000 has 40 divisors (see below), whose sum is σ = 312847871544. Its totient is φ = 51753161600.

The previous prime is 129382905929. The next prime is 129382906007. The reversal of 129382906000 is 609283921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3420378256 + 125962527744 = 58484^2 + 354912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (129382906007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32343727 + ... + 32347726.

Almost surely, 2^129382906000 is an apocalyptic number.

129382906000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129382906000 is an abundant number, since it is smaller than the sum of its proper divisors (183464965544).

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

129382906000 is an equidigital number, since it uses as much as digits as its factorization.

129382906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691476 (or 64691460 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 129382906000 in words is "one hundred twenty-nine billion, three hundred eighty-two million, nine hundred six thousand".