114140509128 has 160 divisors (see below), whose sum is σ = 321786432000. Its totient is φ = 37799274240.

The previous prime is 114140509121. The next prime is 114140509139. The reversal of 114140509128 is 821905041411.

114140509128 is a `hidden beast` number, since 1 + 1 + 4 + 140 + 509 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114140509092 and 114140509101.

It is not an unprimeable number, because it can be changed into a prime (114140509121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125290993 + ... + 125291903.

It is an arithmetic number, because the mean of its divisors is an integer number (2011165200).

Almost surely, 2^114140509128 is an apocalyptic number.

114140509128 is a gapful number since it is divisible by the number (18) 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 114140509128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160893216000).

114140509128 is an abundant number, since it is smaller than the sum of its proper divisors (207645922872).

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

114140509128 is a wasteful number, since it uses less digits than its factorization.

114140509128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 114140509128 in words is "one hundred fourteen billion, one hundred forty million, five hundred nine thousand, one hundred twenty-eight".