129128852160 has 2240 divisors, whose sum is σ = 624554219520. Its totient is φ = 24524881920.

The previous prime is 129128852147. The next prime is 129128852173. The reversal of 129128852160 is 61258821921.

129128852160 is a `hidden beast` number, since 1 + 291 + 288 + 5 + 21 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (129128852147) and next prime (129128852173).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 1331225232 + ... + 1331225328.

It is an arithmetic number, because the mean of its divisors is an integer number (278818848).

Almost surely, 2^129128852160 is an apocalyptic number.

129128852160 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 129128852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312277109760).

129128852160 is an abundant number, since it is smaller than the sum of its proper divisors (495425367360).

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

129128852160 is a wasteful number, since it uses less digits than its factorization.

129128852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 129128852160 in words is "one hundred twenty-nine billion, one hundred twenty-eight million, eight hundred fifty-two thousand, one hundred sixty".