129380480 has 64 divisors (see below), whose sum is σ = 312211800. Its totient is φ = 51265536.

The previous prime is 129380479. The next prime is 129380509. The reversal of 129380480 is 84083921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 97930816 + 31449664 = 9896^2 + 5608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 129380480.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71426 + ... + 73214.

Almost surely, 2^129380480 is an apocalyptic number.

129380480 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 129380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156105900).

129380480 is an abundant number, since it is smaller than the sum of its proper divisors (182831320).

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

129380480 is a wasteful number, since it uses less digits than its factorization.

129380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 129380480 is about 11374.5540571927. The cubic root of 129380480 is about 505.7737118744.

The spelling of 129380480 in words is "one hundred twenty-nine million, three hundred eighty thousand, four hundred eighty".