129932413464100 has 81 divisors (see below), whose sum is σ = 305313900426003. Its totient is φ = 47974497829440.

The previous prime is 129932413464079. The next prime is 129932413464103. The reversal of 129932413464100 is 1464314239921.

The square root of 129932413464100 is 11398790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33490271778084 + 96442141686016 = 5787078^2 + 9820496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129932413464103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1481798859 + ... + 1481886541.

Almost surely, 2^{129932413464100} is an apocalyptic number.

129932413464100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129932413464100 is the 11398790-th square number.

It is an amenable number.

129932413464100 is an abundant number, since it is smaller than the sum of its proper divisors (175381486961903).

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

129932413464100 is an frugal number, since it uses more digits than its factorization.

129932413464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175406 (or 87703 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 129932413464100 in words is "one hundred twenty-nine trillion, nine hundred thirty-two billion, four hundred thirteen million, four hundred sixty-four thousand, one hundred".