129460032 has 280 divisors, whose sum is σ = 441463176. Its totient is φ = 37158912.

The previous prime is 129460021. The next prime is 129460081. The reversal of 129460032 is 230064921.

129460032 is a `hidden beast` number, since 1 + 29 + 4 + 600 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 129413376 = 216^2 + 11376^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 129459978 and 129460005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145608 + ... + 1145720.

Almost surely, 2^129460032 is an apocalyptic number.

129460032 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 129460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220731588).

129460032 is an abundant number, since it is smaller than the sum of its proper divisors (312003144).

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

129460032 is a wasteful number, since it uses less digits than its factorization.

129460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 129460032 is about 11378.0504481216. The cubic root of 129460032 is about 505.8773521006.

The spelling of 129460032 in words is "one hundred twenty-nine million, four hundred sixty thousand, thirty-two".