129180480 has 224 divisors, whose sum is σ = 482364288. Its totient is φ = 28876800.

The previous prime is 129180473. The next prime is 129180481. The reversal of 129180480 is 84081921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129180481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136810 + ... + 137750.

It is an arithmetic number, because the mean of its divisors is an integer number (2153412).

Almost surely, 2^129180480 is an apocalyptic number.

129180480 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 129180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241182144).

129180480 is an abundant number, since it is smaller than the sum of its proper divisors (353183808).

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

129180480 is a wasteful number, since it uses less digits than its factorization.

129180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 129180480 is about 11365.7591035531. The cubic root of 129180480 is about 505.5129643752.

The spelling of 129180480 in words is "one hundred twenty-nine million, one hundred eighty thousand, four hundred eighty".