128038140 has 72 divisors (see below), whose sum is σ = 389477088. Its totient is φ = 34047360.

The previous prime is 128038123. The next prime is 128038151. The reversal of 128038140 is 41830821.

128038140 is a `hidden beast` number, since 1 + 280 + 381 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82209 + ... + 83751.

It is an arithmetic number, because the mean of its divisors is an integer number (5409404).

Almost surely, 2^128038140 is an apocalyptic number.

128038140 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 128038140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194738544).

128038140 is an abundant number, since it is smaller than the sum of its proper divisors (261438948).

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

128038140 is a wasteful number, since it uses less digits than its factorization.

128038140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128038140 is about 11315.3939392316. The cubic root of 128038140 is about 504.0184706005.

Adding to 128038140 its reverse (41830821), we get a palindrome (169868961).

The spelling of 128038140 in words is "one hundred twenty-eight million, thirty-eight thousand, one hundred forty".