128257140 has 96 divisors (see below), whose sum is σ = 405336960. Its totient is φ = 30016000.

The previous prime is 128257123. The next prime is 128257141. The reversal of 128257140 is 41752821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 128257098 and 128257107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128257141) 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, 15790 + ... + 22490.

It is an arithmetic number, because the mean of its divisors is an integer number (4222260).

Almost surely, 2^128257140 is an apocalyptic number.

128257140 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 128257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202668480).

128257140 is an abundant number, since it is smaller than the sum of its proper divisors (277079820).

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

128257140 is a wasteful number, since it uses less digits than its factorization.

128257140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 128257140 is about 11325.0668872197. The cubic root of 128257140 is about 504.3056693274.

The spelling of 128257140 in words is "one hundred twenty-eight million, two hundred fifty-seven thousand, one hundred forty".