129336480 has 576 divisors, whose sum is σ = 579156480. Its totient is φ = 26707968.

The previous prime is 129336463. The next prime is 129336517. The reversal of 129336480 is 84633921.

129336480 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 3 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751817 + ... + 2751863.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^129336480 is an apocalyptic number.

129336480 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 129336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

129336480 is an abundant number, since it is smaller than the sum of its proper divisors (449820000).

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

129336480 is a wasteful number, since it uses less digits than its factorization.

129336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 129336480 is about 11372.6197509633. The cubic root of 129336480 is about 505.7163704925.

It can be divided in two parts, 1293 and 36480, that added together give a palindrome (37773).

The spelling of 129336480 in words is "one hundred twenty-nine million, three hundred thirty-six thousand, four hundred eighty".