129906420 has 192 divisors, whose sum is σ = 445562880. Its totient is φ = 27620352.

The previous prime is 129906407. The next prime is 129906421. The reversal of 129906420 is 24609921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129906421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582429 + ... + 582651.

It is an arithmetic number, because the mean of its divisors is an integer number (2320640).

Almost surely, 2^129906420 is an apocalyptic number.

129906420 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 129906420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222781440).

129906420 is an abundant number, since it is smaller than the sum of its proper divisors (315656460).

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

129906420 is a wasteful number, since it uses less digits than its factorization.

129906420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 129906420 is about 11397.6497577351. The cubic root of 129906420 is about 506.4581195819.

The spelling of 129906420 in words is "one hundred twenty-nine million, nine hundred six thousand, four hundred twenty".