128340000 has 360 divisors, whose sum is σ = 491242752. Its totient is φ = 31680000.

The previous prime is 128339999. The next prime is 128340007. The reversal of 128340000 is 43821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (128340007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4139985 + ... + 4140015.

Almost surely, 2^128340000 is an apocalyptic number.

128340000 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 128340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245621376).

128340000 is an abundant number, since it is smaller than the sum of its proper divisors (362902752).

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

128340000 is a wasteful number, since it uses less digits than its factorization.

128340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128340000 is about 11328.7245530995. The cubic root of 128340000 is about 504.4142474860.

Adding to 128340000 its reverse (43821), we get a palindrome (128383821).

The spelling of 128340000 in words is "one hundred twenty-eight million, three hundred forty thousand".