129506560 has 144 divisors (see below), whose sum is σ = 333777024. Its totient is φ = 48029696.

The previous prime is 129506551. The next prime is 129506563. The reversal of 129506560 is 65605921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129506563) 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, 1560279 + ... + 1560361.

It is an arithmetic number, because the mean of its divisors is an integer number (2317896).

Almost surely, 2^129506560 is an apocalyptic number.

129506560 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 129506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166888512).

129506560 is an abundant number, since it is smaller than the sum of its proper divisors (204270464).

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

129506560 is an equidigital number, since it uses as much as digits as its factorization.

129506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 129506560 is about 11380.0949029435. The cubic root of 129506560 is about 505.9379490325.

The spelling of 129506560 in words is "one hundred twenty-nine million, five hundred six thousand, five hundred sixty".