128814000 has 160 divisors (see below), whose sum is σ = 474779136. Its totient is φ = 29433600.

The previous prime is 128813987. The next prime is 128814013. The reversal of 128814000 is 418821.

It is an interprime number because it is at equal distance from previous prime (128813987) and next prime (128814013).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 40467 + ... + 43533.

Almost surely, 2^128814000 is an apocalyptic number.

128814000 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 128814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237389568).

128814000 is an abundant number, since it is smaller than the sum of its proper divisors (345965136).

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

128814000 is a wasteful number, since it uses less digits than its factorization.

128814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 128814000 is about 11349.6255444838. The cubic root of 128814000 is about 505.0344713913.

The spelling of 128814000 in words is "one hundred twenty-eight million, eight hundred fourteen thousand".