128400000 has 192 divisors, whose sum is σ = 430284960. Its totient is φ = 33920000.

The previous prime is 128399983. The next prime is 128400001. The reversal of 128400000 is 4821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (128400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199947 + ... + 1200053.

Almost surely, 2^128400000 is an apocalyptic number.

128400000 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 128400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215142480).

128400000 is an abundant number, since it is smaller than the sum of its proper divisors (301884960).

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

128400000 is an frugal number, since it uses more digits than its factorization.

128400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 128400000 is about 11331.3723793722. The cubic root of 128400000 is about 504.4928411687.

Adding to 128400000 its reverse (4821), we get a palindrome (128404821).

The spelling of 128400000 in words is "one hundred twenty-eight million, four hundred thousand".