129929040 has 120 divisors (see below), whose sum is σ = 439195848. Its totient is φ = 34421760.

The previous prime is 129929039. The next prime is 129929057. The reversal of 129929040 is 40929921.

It can be written as a sum of positive squares in 4 ways, for example, as 4309776 + 125619264 = 2076^2 + 11208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 129928986 and 129929004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129822 + ... + 130818.

Almost surely, 2^129929040 is an apocalyptic number.

129929040 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 129929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219597924).

129929040 is an abundant number, since it is smaller than the sum of its proper divisors (309266808).

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

129929040 is a wasteful number, since it uses less digits than its factorization.

129929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 129929040 is about 11398.6420243817. The cubic root of 129929040 is about 506.4875136072.

The spelling of 129929040 in words is "one hundred twenty-nine million, nine hundred twenty-nine thousand, forty".