128109600 has 216 divisors, whose sum is σ = 469188720. Its totient is φ = 34110720.

The previous prime is 128109593. The next prime is 128109601. The reversal of 128109600 is 6901821.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×128109600² = 32824139224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128109601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194071 + ... + 194729.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2^128109600 is an apocalyptic number.

128109600 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 128109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).

128109600 is an abundant number, since it is smaller than the sum of its proper divisors (341079120).

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

128109600 is an equidigital number, since it uses as much as digits as its factorization.

128109600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 128109600 is about 11318.5511440290. The cubic root of 128109600 is about 504.1122199094.

The spelling of 128109600 in words is "one hundred twenty-eight million, one hundred nine thousand, six hundred".