129132400 has 60 divisors (see below), whose sum is σ = 311364000. Its totient is φ = 51466240.

The previous prime is 129132371. The next prime is 129132403. The reversal of 129132400 is 4231921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129132403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179241 + ... + 179959.

It is an arithmetic number, because the mean of its divisors is an integer number (5189400).

Almost surely, 2^129132400 is an apocalyptic number.

129132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155682000).

129132400 is an abundant number, since it is smaller than the sum of its proper divisors (182231600).

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

129132400 is a wasteful number, since it uses less digits than its factorization.

129132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 129132400 is about 11363.6437818158. The cubic root of 129132400 is about 505.4502405557.

The spelling of 129132400 in words is "one hundred twenty-nine million, one hundred thirty-two thousand, four hundred".