129916640 has 144 divisors (see below), whose sum is σ = 363524112. Its totient is φ = 43739136.

The previous prime is 129916609. The next prime is 129916667. The reversal of 129916640 is 46619921.

It is a junction number, because it is equal to n+sod(n) for n = 129916594 and 129916603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572207 + ... + 572433.

It is an arithmetic number, because the mean of its divisors is an integer number (2524473).

Almost surely, 2^129916640 is an apocalyptic number.

129916640 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 129916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181762056).

129916640 is an abundant number, since it is smaller than the sum of its proper divisors (233607472).

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

129916640 is a wasteful number, since it uses less digits than its factorization.

129916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 129916640 is about 11398.0980869617. The cubic root of 129916640 is about 506.4714005941.

The spelling of 129916640 in words is "one hundred twenty-nine million, nine hundred sixteen thousand, six hundred forty".