128914240 has 224 divisors, whose sum is σ = 399409920. Its totient is φ = 38486016.

The previous prime is 128914229. The next prime is 128914243. The reversal of 128914240 is 42419821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128914243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 553164 + ... + 553396.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^128914240 is an apocalyptic number.

128914240 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 128914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

128914240 is an abundant number, since it is smaller than the sum of its proper divisors (270495680).

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

128914240 is a wasteful number, since it uses less digits than its factorization.

128914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 128914240 is about 11354.0406904326. The cubic root of 128914240 is about 505.1654393748.

The spelling of 128914240 in words is "one hundred twenty-eight million, nine hundred fourteen thousand, two hundred forty".