114736128 has 176 divisors, whose sum is σ = 350773920. Its totient is φ = 33226752.

The previous prime is 114736091. The next prime is 114736133. The reversal of 114736128 is 821637411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6749176 + ... + 6749192.

Almost surely, 2^114736128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175386960).

114736128 is an abundant number, since it is smaller than the sum of its proper divisors (236037792).

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

114736128 is an equidigital number, since it uses as much as digits as its factorization.

114736128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 35 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 114736128 is about 10711.4951337337. The cubic root of 114736128 is about 485.9221877489.

The spelling of 114736128 in words is "one hundred fourteen million, seven hundred thirty-six thousand, one hundred twenty-eight".