129528864 has 144 divisors (see below), whose sum is σ = 383272344. Its totient is φ = 41472000.

The previous prime is 129528859. The next prime is 129528911. The reversal of 129528864 is 468825921.

It can be written as a sum of positive squares in 4 ways, for example, as 112784400 + 16744464 = 10620^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (276480) is a multiple of the sum of its prime divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282414 + ... + 1282514.

Almost surely, 2^129528864 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 129528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191636172).

129528864 is an abundant number, since it is smaller than the sum of its proper divisors (253743480).

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

129528864 is a wasteful number, since it uses less digits than its factorization.

129528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 129528864 is about 11381.0748174327. The cubic root of 129528864 is about 505.9669920716.

The spelling of 129528864 in words is "one hundred twenty-nine million, five hundred twenty-eight thousand, eight hundred sixty-four".