129434880 has 144 divisors (see below), whose sum is σ = 425021184. Its totient is φ = 33546240.

The previous prime is 129434873. The next prime is 129434881. The reversal of 129434880 is 88434921.

It is a super-2 number, since 2×129434880² = 33506776321228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129434881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141625 + ... + 142535.

It is an arithmetic number, because the mean of its divisors is an integer number (2951536).

Almost surely, 2^129434880 is an apocalyptic number.

129434880 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 129434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212510592).

129434880 is an abundant number, since it is smaller than the sum of its proper divisors (295586304).

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

129434880 is an equidigital number, since it uses as much as digits as its factorization.

129434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 129434880 is about 11376.9451084199. The cubic root of 129434880 is about 505.8445887037.

The spelling of 129434880 in words is "one hundred twenty-nine million, four hundred thirty-four thousand, eight hundred eighty".