114054144 has 88 divisors (see below), whose sum is σ = 307344768. Its totient is φ = 37601280.

The previous prime is 114054121. The next prime is 114054163. The reversal of 114054144 is 441450411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420729 + ... + 420999.

Almost surely, 2^114054144 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 114054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153672384).

114054144 is an abundant number, since it is smaller than the sum of its proper divisors (193290624).

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

114054144 is a wasteful number, since it uses less digits than its factorization.

114054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 114054144 is about 10679.6134761517. The cubic root of 114054144 is about 484.9575107143.

The spelling of 114054144 in words is "one hundred fourteen million, fifty-four thousand, one hundred forty-four".