128675040 has 192 divisors, whose sum is σ = 462563136. Its totient is φ = 29786112.

The previous prime is 128675033. The next prime is 128675051. The reversal of 128675040 is 40576821.

It is a junction number, because it is equal to n+sod(n) for n = 128674992 and 128675010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105474 + ... + 106686.

It is an arithmetic number, because the mean of its divisors is an integer number (2409183).

Almost surely, 2^128675040 is an apocalyptic number.

128675040 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 128675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231281568).

128675040 is an abundant number, since it is smaller than the sum of its proper divisors (333888096).

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

128675040 is a wasteful number, since it uses less digits than its factorization.

128675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 128675040 is about 11343.5021047294. The cubic root of 128675040 is about 504.8528015909.

The spelling of 128675040 in words is "one hundred twenty-eight million, six hundred seventy-five thousand, forty".