129157217190528 has 128 divisors (see below), whose sum is σ = 352362700739520. Its totient is φ = 41886856544256.

The previous prime is 129157217190527. The next prime is 129157217190557. The reversal of 129157217190528 is 825091712751921.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (129157217190527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318525451 + ... + 318930677.

Almost surely, 2^{129157217190528} 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 129157217190528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176181350369760).

129157217190528 is an abundant number, since it is smaller than the sum of its proper divisors (223205483548992).

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

129157217190528 is a wasteful number, since it uses less digits than its factorization.

129157217190528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427714 (or 427702 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 60.

The spelling of 129157217190528 in words is "one hundred twenty-nine trillion, one hundred fifty-seven billion, two hundred seventeen million, one hundred ninety thousand, five hundred twenty-eight".