129820416 has 144 divisors (see below), whose sum is σ = 383029248. Its totient is φ = 39029760.

The previous prime is 129820409. The next prime is 129820459. The reversal of 129820416 is 614028921.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1022145 + ... + 1022271.

Almost surely, 2^129820416 is an apocalyptic number.

129820416 is a gapful number since it is divisible by the number (16) 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 129820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191514624).

129820416 is an abundant number, since it is smaller than the sum of its proper divisors (253208832).

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

129820416 is an equidigital number, since it uses as much as digits as its factorization.

129820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 129820416 is about 11393.8762499862. The cubic root of 129820416 is about 506.3463287507.

The spelling of 129820416 in words is "one hundred twenty-nine million, eight hundred twenty thousand, four hundred sixteen".