129232032 has 96 divisors (see below), whose sum is σ = 357944832. Its totient is φ = 40744704.

The previous prime is 129232027. The next prime is 129232043. The reversal of 129232032 is 230232921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 129231993 and 129232011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235983 + ... + 236529.

It is an arithmetic number, because the mean of its divisors is an integer number (3728592).

Almost surely, 2^129232032 is an apocalyptic number.

129232032 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 129232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178972416).

129232032 is an abundant number, since it is smaller than the sum of its proper divisors (228712800).

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

129232032 is a wasteful number, since it uses less digits than its factorization.

129232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 129232032 is about 11368.0267416997. The cubic root of 129232032 is about 505.5802003810.

Adding to 129232032 its reverse (230232921), we get a palindrome (359464953).

The spelling of 129232032 in words is "one hundred twenty-nine million, two hundred thirty-two thousand, thirty-two".