128352000 has 288 divisors, whose sum is σ = 489775104. Its totient is φ = 29184000.

The previous prime is 128351953. The next prime is 128352013. The reversal of 128352000 is 253821.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671905 + ... + 672095.

It is an arithmetic number, because the mean of its divisors is an integer number (1700608).

Almost surely, 2^128352000 is an apocalyptic number.

128352000 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 128352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887552).

128352000 is an abundant number, since it is smaller than the sum of its proper divisors (361423104).

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

128352000 is an equidigital number, since it uses as much as digits as its factorization.

128352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 128352000 is about 11329.2541678612. The cubic root of 128352000 is about 504.4299681819.

The spelling of 128352000 in words is "one hundred twenty-eight million, three hundred fifty-two thousand".