129520800 has 108 divisors (see below), whose sum is σ = 456748110. Its totient is φ = 34536960.

The previous prime is 129520793. The next prime is 129520801. The reversal of 129520800 is 8025921.

It can be written as a sum of positive squares in 3 ways, for example, as 110754576 + 18766224 = 10524^2 + 4332^2 .

It is not an unprimeable number, because it can be changed into a prime (129520801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1795 + ... + 16194.

Almost surely, 2^129520800 is an apocalyptic number.

129520800 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 129520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228374055).

129520800 is an abundant number, since it is smaller than the sum of its proper divisors (327227310).

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

129520800 is a wasteful number, since it uses less digits than its factorization.

129520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18015 (or 17999 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 129520800 is about 11380.7205395792. The cubic root of 129520800 is about 505.9564919602.

The spelling of 129520800 in words is "one hundred twenty-nine million, five hundred twenty thousand, eight hundred".