128375040 has 144 divisors (see below), whose sum is σ = 415308096. Its totient is φ = 33792000.

The previous prime is 128375033. The next prime is 128375087. The reversal of 128375040 is 40573821.

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 = 128374989 and 128375007.

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, 387675 + ... + 388005.

It is an arithmetic number, because the mean of its divisors is an integer number (2884084).

Almost surely, 2^128375040 is an apocalyptic number.

128375040 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 128375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207654048).

128375040 is an abundant number, since it is smaller than the sum of its proper divisors (286933056).

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

128375040 is a wasteful number, since it uses less digits than its factorization.

128375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 128375040 is about 11330.2709588076. The cubic root of 128375040 is about 504.4601491715.

The spelling of 128375040 in words is "one hundred twenty-eight million, three hundred seventy-five thousand, forty".