128351040 has 112 divisors (see below), whose sum is σ = 425305728. Its totient is φ = 32733184.

The previous prime is 128351011. The next prime is 128351077. The reversal of 128351040 is 40153821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 128351040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19174 + ... + 24986.

Almost surely, 2^128351040 is an apocalyptic number.

128351040 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 128351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212652864).

128351040 is an abundant number, since it is smaller than the sum of its proper divisors (296954688).

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

128351040 is a wasteful number, since it uses less digits than its factorization.

128351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 128351040 is about 11329.2117995914. The cubic root of 128351040 is about 504.4287105623.

The spelling of 128351040 in words is "one hundred twenty-eight million, three hundred fifty-one thousand, forty".