129460320 has 216 divisors, whose sum is σ = 486250128. Its totient is φ = 31342080.

The previous prime is 129460313. The next prime is 129460327. The reversal of 129460320 is 23064921.

It is an interprime number because it is at equal distance from previous prime (129460313) and next prime (129460327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129460327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173869 + ... + 174611.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^129460320 is an apocalyptic number.

129460320 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 129460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

129460320 is an abundant number, since it is smaller than the sum of its proper divisors (356789808).

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

129460320 is a wasteful number, since it uses less digits than its factorization.

129460320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 129460320 is about 11378.0631040613. The cubic root of 129460320 is about 505.8777272295.

The spelling of 129460320 in words is "one hundred twenty-nine million, four hundred sixty thousand, three hundred twenty".