129042432 has 72 divisors (see below), whose sum is σ = 372751470. Its totient is φ = 43008000.

The previous prime is 129042377. The next prime is 129042437. The reversal of 129042432 is 234240921.

It can be written as a sum of positive squares in only one way, i.e., 113550336 + 15492096 = 10656^2 + 3936^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 129042396 and 129042405.

It is not an unprimeable number, because it can be changed into a prime (129042437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14932 + ... + 21932.

Almost surely, 2^129042432 is an apocalyptic number.

129042432 is a gapful number since it is divisible by the number (12) 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 129042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186375735).

129042432 is an abundant number, since it is smaller than the sum of its proper divisors (243709038).

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

129042432 is an equidigital number, since it uses as much as digits as its factorization.

129042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 129042432 is about 11359.6845026612. The cubic root of 129042432 is about 505.3328289891.

The spelling of 129042432 in words is "one hundred twenty-nine million, forty-two thousand, four hundred thirty-two".