129968064 has 168 divisors, whose sum is σ = 395526768. Its totient is φ = 42301440.

The previous prime is 129968063. The next prime is 129968107. The reversal of 129968064 is 460869921.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129968063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948604 + ... + 948740.

It is an arithmetic number, because the mean of its divisors is an integer number (2354326).

Almost surely, 2^129968064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197763384).

129968064 is an abundant number, since it is smaller than the sum of its proper divisors (265558704).

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

129968064 is an equidigital number, since it uses as much as digits as its factorization.

129968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 129968064 is about 11400.3536787242. The cubic root of 129968064 is about 506.5382161298.

The spelling of 129968064 in words is "one hundred twenty-nine million, nine hundred sixty-eight thousand, sixty-four".