128337056 has 48 divisors (see below), whose sum is σ = 265918464. Its totient is φ = 60850944.

The previous prime is 128337049. The next prime is 128337071. The reversal of 128337056 is 650733821.

128337056 = T₁₈₃ + T₁₈₄ + ... + T₉₁₈.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 92786 + ... + 94158.

It is an arithmetic number, because the mean of its divisors is an integer number (5539968).

Almost surely, 2^128337056 is an apocalyptic number.

128337056 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 128337056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132959232).

128337056 is an abundant number, since it is smaller than the sum of its proper divisors (137581408).

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

128337056 is a wasteful number, since it uses less digits than its factorization.

128337056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 128337056 is about 11328.5946171624. The cubic root of 128337056 is about 504.4103905256.

The spelling of 128337056 in words is "one hundred twenty-eight million, three hundred thirty-seven thousand, fifty-six".