114093144 has 128 divisors (see below), whose sum is σ = 357120000. Its totient is φ = 33436800.

The previous prime is 114093139. The next prime is 114093167. The reversal of 114093144 is 441390411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72882 + ... + 74430.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2^114093144 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 114093144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

114093144 is an abundant number, since it is smaller than the sum of its proper divisors (243026856).

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

114093144 is a wasteful number, since it uses less digits than its factorization.

114093144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114093144 is about 10681.4392288680. The cubic root of 114093144 is about 485.0127803342.

The spelling of 114093144 in words is "one hundred fourteen million, ninety-three thousand, one hundred forty-four".