129386016 has 72 divisors (see below), whose sum is σ = 369074160. Its totient is φ = 42996096.

The previous prime is 129386009. The next prime is 129386027. The reversal of 129386016 is 610683921.

129386016 is a `hidden beast` number, since 12 + 9 + 38 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×129386016² = 33481482272704512, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150195 + ... + 151053.

It is an arithmetic number, because the mean of its divisors is an integer number (5126030).

Almost surely, 2^129386016 is an apocalyptic number.

129386016 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 129386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184537080).

129386016 is an abundant number, since it is smaller than the sum of its proper divisors (239688144).

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

129386016 is a wasteful number, since it uses less digits than its factorization.

129386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 129386016 is about 11374.7974047892. The cubic root of 129386016 is about 505.7809255420.

The spelling of 129386016 in words is "one hundred twenty-nine million, three hundred eighty-six thousand, sixteen".