128128000 has 352 divisors, whose sum is σ = 429182208. Its totient is φ = 36864000.

The previous prime is 128127973. The next prime is 128128027. The reversal of 128128000 is 821821.

It is an interprime number because it is at equal distance from previous prime (128127973) and next prime (128128027).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 9855994 + ... + 9856006.

Almost surely, 2^128128000 is an apocalyptic number.

128128000 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 128128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104).

128128000 is an abundant number, since it is smaller than the sum of its proper divisors (301054208).

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

128128000 is a wasteful number, since it uses less digits than its factorization.

128128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 128128000 is about 11319.3639397274. The cubic root of 128128000 is about 504.1363534659.

128128000 divided by its product of nonzero digits (256) gives a triangular number (500500 = T₁₀₀₀).

Adding to 128128000 its reverse (821821), we get a palindrome (128949821).

The spelling of 128128000 in words is "one hundred twenty-eight million, one hundred twenty-eight thousand".