129034080 has 384 divisors, whose sum is σ = 548674560. Its totient is φ = 27648000.

The previous prime is 129034057. The next prime is 129034109. The reversal of 129034080 is 80430921.

129034080 is a nontrivial binomial coefficient, being equal to C(16065, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513955 + ... + 514205.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^129034080 is an apocalyptic number.

129034080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129034080 is the 16064-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

129034080 is an abundant number, since it is smaller than the sum of its proper divisors (419640480).

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

129034080 is a wasteful number, since it uses less digits than its factorization.

129034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 129034080 is about 11359.3168808692. The cubic root of 129034080 is about 505.3219265523.

The spelling of 129034080 in words is "one hundred twenty-nine million, thirty-four thousand, eighty".