129782016 has 216 divisors, whose sum is σ = 461289920. Its totient is φ = 34172928.

The previous prime is 129781999. The next prime is 129782021. The reversal of 129782016 is 610287921.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209355 + ... + 209973.

Almost surely, 2^129782016 is an apocalyptic number.

129782016 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 129782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230644960).

129782016 is an abundant number, since it is smaller than the sum of its proper divisors (331507904).

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

129782016 is a wasteful number, since it uses less digits than its factorization.

129782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 129782016 is about 11392.1910096346. The cubic root of 129782016 is about 506.2963992223.

The spelling of 129782016 in words is "one hundred twenty-nine million, seven hundred eighty-two thousand, sixteen".