114128640 has 108 divisors (see below), whose sum is σ = 394913064. Its totient is φ = 30431232.

The previous prime is 114128561. The next prime is 114128653. The reversal of 114128640 is 46821411.

It is a happy number.

114128640 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 8 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6567 + ... + 16473.

Almost surely, 2^114128640 is an apocalyptic number.

114128640 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 114128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197456532).

114128640 is an abundant number, since it is smaller than the sum of its proper divisors (280784424).

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

114128640 is an equidigital number, since it uses as much as digits as its factorization.

114128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9917 counting only the distinct ones).

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

The square root of 114128640 is about 10683.1006734936. The cubic root of 114128640 is about 485.0630732439.

The spelling of 114128640 in words is "one hundred fourteen million, one hundred twenty-eight thousand, six hundred forty".