128351160 has 288 divisors, whose sum is σ = 501901920. Its totient is φ = 27855360.

The previous prime is 128351149. The next prime is 128351161. The reversal of 128351160 is 61153821.

128351160 is a `hidden beast` number, since 12 + 83 + 511 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128351161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2421694 + ... + 2421746.

It is an arithmetic number, because the mean of its divisors is an integer number (1742715).

Almost surely, 2^128351160 is an apocalyptic number.

128351160 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 128351160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250950960).

128351160 is an abundant number, since it is smaller than the sum of its proper divisors (373550760).

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

128351160 is a wasteful number, since it uses less digits than its factorization.

128351160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 128351160 is about 11329.2170956337. The cubic root of 128351160 is about 504.4288677651.

The spelling of 128351160 in words is "one hundred twenty-eight million, three hundred fifty-one thousand, one hundred sixty".