129888000 has 432 divisors, whose sum is σ = 522299232. Its totient is φ = 30720000.

The previous prime is 129887977. The next prime is 129888023. The reversal of 129888000 is 888921.

129888000 = 226² + 227² + ... + 737².

It is an interprime number because it is at equal distance from previous prime (129887977) and next prime (129888023).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167980 + ... + 3168020.

It is an arithmetic number, because the mean of its divisors is an integer number (1209026).

Almost surely, 2^129888000 is an apocalyptic number.

129888000 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 129888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261149616).

129888000 is an abundant number, since it is smaller than the sum of its proper divisors (392411232).

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

129888000 is a wasteful number, since it uses less digits than its factorization.

129888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 129888000 is about 11396.8416677604. The cubic root of 129888000 is about 506.4341808124.

It can be divided in two parts, 1298 and 88000, that added together give a palindrome (89298).

The spelling of 129888000 in words is "one hundred twenty-nine million, eight hundred eighty-eight thousand".