129396564 has 72 divisors (see below), whose sum is σ = 362220768. Its totient is φ = 38617920.

The previous prime is 129396563. The next prime is 129396569. The reversal of 129396564 is 465693921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129396563) by changing a digit.

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, 24094 + ... + 28970.

It is an arithmetic number, because the mean of its divisors is an integer number (5030844).

Almost surely, 2^129396564 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 129396564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181110384).

129396564 is an abundant number, since it is smaller than the sum of its proper divisors (232824204).

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

129396564 is a wasteful number, since it uses less digits than its factorization.

129396564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4960 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 129396564 is about 11375.2610519495. The cubic root of 129396564 is about 505.7946695111.

It can be divided in two parts, 12939 and 6564, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 129396564 in words is "one hundred twenty-nine million, three hundred ninety-six thousand, five hundred sixty-four".