128646144 has 264 divisors, whose sum is σ = 429182208. Its totient is φ = 38154240.

The previous prime is 128646127. The next prime is 128646179. The reversal of 128646144 is 441646821.

It is a happy number.

128646144 is a `hidden beast` number, since 1 + 2 + 8 + 646 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 128646099 and 128646108.

It is a congruent number.

It is an unprimeable number.

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, 2737129 + ... + 2737175.

Almost surely, 2^128646144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104).

128646144 is an abundant number, since it is smaller than the sum of its proper divisors (300536064).

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

128646144 is an equidigital number, since it uses as much as digits as its factorization.

128646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 128646144 is about 11342.2283524888. The cubic root of 128646144 is about 504.8150078880.

The spelling of 128646144 in words is "one hundred twenty-eight million, six hundred forty-six thousand, one hundred forty-four".