128337216 has 224 divisors, whose sum is σ = 423988992. Its totient is φ = 33423360.

The previous prime is 128337211. The next prime is 128337239. The reversal of 128337216 is 612733821.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128337211) 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 31 ways as a sum of consecutive naturals, for example, 936700 + ... + 936836.

It is an arithmetic number, because the mean of its divisors is an integer number (1892808).

Almost surely, 2^128337216 is an apocalyptic number.

128337216 is a gapful number since it is divisible by the number (16) 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 128337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211994496).

128337216 is an abundant number, since it is smaller than the sum of its proper divisors (295651776).

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

128337216 is a wasteful number, since it uses less digits than its factorization.

128337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 128337216 is about 11328.6016789364. The cubic root of 128337216 is about 504.4106001445.

The spelling of 128337216 in words is "one hundred twenty-eight million, three hundred thirty-seven thousand, two hundred sixteen".