129132801564 has 96 divisors (see below), whose sum is σ = 335093692416. Its totient is φ = 38435523840.

The previous prime is 129132801527. The next prime is 129132801593. The reversal of 129132801564 is 465108231921.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17197899 + ... + 17205405.

It is an arithmetic number, because the mean of its divisors is an integer number (3490559296).

Almost surely, 2^129132801564 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 129132801564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167546846208).

129132801564 is an abundant number, since it is smaller than the sum of its proper divisors (205960890852).

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

129132801564 is a wasteful number, since it uses less digits than its factorization.

129132801564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 129132801564 in words is "one hundred twenty-nine billion, one hundred thirty-two million, eight hundred one thousand, five hundred sixty-four".