128736000 has 288 divisors, whose sum is σ = 478296000. Its totient is φ = 34099200.

The previous prime is 128735977. The next prime is 128736007. The reversal of 128736000 is 637821.

It is a tau number, because it is divible by the number of its divisors (288).

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 (128736007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863926 + ... + 864074.

It is an arithmetic number, because the mean of its divisors is an integer number (1660750).

Almost surely, 2^128736000 is an apocalyptic number.

128736000 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 128736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239148000).

128736000 is an abundant number, since it is smaller than the sum of its proper divisors (349560000).

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

128736000 is an equidigital number, since it uses as much as digits as its factorization.

128736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 128736000 is about 11346.1887874299. The cubic root of 128736000 is about 504.9325139371.

The spelling of 128736000 in words is "one hundred twenty-eight million, seven hundred thirty-six thousand".