128896140 has 144 divisors (see below), whose sum is σ = 392426496. Its totient is φ = 31574400.

The previous prime is 128896129. The next prime is 128896147. The reversal of 128896140 is 41698821.

It is a super-2 number, since 2×128896140² = 33228429813799200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128896147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983875 + ... + 984005.

It is an arithmetic number, because the mean of its divisors is an integer number (2725184).

Almost surely, 2^128896140 is an apocalyptic number.

128896140 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 128896140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196213248).

128896140 is an abundant number, since it is smaller than the sum of its proper divisors (263530356).

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

128896140 is a wasteful number, since it uses less digits than its factorization.

128896140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 128896140 is about 11353.2435893889. The cubic root of 128896140 is about 505.1417959500.

The spelling of 128896140 in words is "one hundred twenty-eight million, eight hundred ninety-six thousand, one hundred forty".