129384640 has 224 divisors, whose sum is σ = 395020800. Its totient is φ = 39198720.

The previous prime is 129384613. The next prime is 129384659. The reversal of 129384640 is 46483921.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 129384640.

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 31 ways as a sum of consecutive naturals, for example, 1453716 + ... + 1453804.

Almost surely, 2^129384640 is an apocalyptic number.

129384640 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 129384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

129384640 is an abundant number, since it is smaller than the sum of its proper divisors (265636160).

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

129384640 is a wasteful number, since it uses less digits than its factorization.

129384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 129384640 is about 11374.7369200347. The cubic root of 129384640 is about 505.7791325687.

It can be divided in two parts, 12938 and 4640, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 129384640 in words is "one hundred twenty-nine million, three hundred eighty-four thousand, six hundred forty".