129133038528 has 1008 divisors, whose sum is σ = 459907209216. Its totient is φ = 34323886080.

The previous prime is 129133038527. The next prime is 129133038557. The reversal of 129133038528 is 825830331921.

129133038528 is a `hidden beast` number, since 1 + 2 + 91 + 3 + 3 + 0 + 38 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129133038521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1927358751 + ... + 1927358817.

It is an arithmetic number, because the mean of its divisors is an integer number (456257152).

Almost surely, 2^129133038528 is an apocalyptic number.

129133038528 is a gapful number since it is divisible by the number (18) 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 129133038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229953604608).

129133038528 is an abundant number, since it is smaller than the sum of its proper divisors (330774170688).

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

129133038528 is a wasteful number, since it uses less digits than its factorization.

129133038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 129133038528 in words is "one hundred twenty-nine billion, one hundred thirty-three million, thirty-eight thousand, five hundred twenty-eight".