129587251920 has 640 divisors, whose sum is σ = 501242204160. Its totient is φ = 27033108480.

The previous prime is 129587251907. The next prime is 129587251933. The reversal of 129587251920 is 29152785921.

It is an interprime number because it is at equal distance from previous prime (129587251907) and next prime (129587251933).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133457035 + ... + 133458005.

It is an arithmetic number, because the mean of its divisors is an integer number (783190944).

Almost surely, 2^129587251920 is an apocalyptic number.

129587251920 is a gapful number since it is divisible by the number (10) 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 129587251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250621102080).

129587251920 is an abundant number, since it is smaller than the sum of its proper divisors (371654952240).

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

129587251920 is a wasteful number, since it uses less digits than its factorization.

129587251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 129587251920 in words is "one hundred twenty-nine billion, five hundred eighty-seven million, two hundred fifty-one thousand, nine hundred twenty".