128186240 has 256 divisors, whose sum is σ = 394813440. Its totient is φ = 38707200.

The previous prime is 128186237. The next prime is 128186243. The reversal of 128186240 is 42681821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (128186237) and next prime (128186243).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 128186197 and 128186206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128186243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805405 + ... + 1805475.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2^128186240 is an apocalyptic number.

128186240 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 128186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

128186240 is an abundant number, since it is smaller than the sum of its proper divisors (266627200).

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

128186240 is a wasteful number, since it uses less digits than its factorization.

128186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 128186240 is about 11321.9362301684. The cubic root of 128186240 is about 504.2127261914.

The spelling of 128186240 in words is "one hundred twenty-eight million, one hundred eighty-six thousand, two hundred forty".