128165040 has 240 divisors, whose sum is σ = 469711008. Its totient is φ = 31186944.

The previous prime is 128165027. The next prime is 128165047. The reversal of 128165040 is 40561821.

128165040 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 650 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 11321²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 128164995 and 128165013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128165047) 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 47 ways as a sum of consecutive naturals, for example, 452739 + ... + 453021.

Almost surely, 2^128165040 is an apocalyptic number.

128165040 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 128165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234855504).

128165040 is an abundant number, since it is smaller than the sum of its proper divisors (341545968).

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

128165040 is a wasteful number, since it uses less digits than its factorization.

128165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 128165040 is about 11320.9999558343. Note that the first 4 decimals coincide. The cubic root of 128165040 is about 504.1849283582.

The spelling of 128165040 in words is "one hundred twenty-eight million, one hundred sixty-five thousand, forty".