114490080 has 144 divisors (see below), whose sum is σ = 399999600. Its totient is φ = 29820672.

The previous prime is 114490063. The next prime is 114490093. The reversal of 114490080 is 80094411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2662539 + ... + 2662581.

It is an arithmetic number, because the mean of its divisors is an integer number (2777775).

Almost surely, 2^114490080 is an apocalyptic number.

114490080 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 114490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199999800).

114490080 is an abundant number, since it is smaller than the sum of its proper divisors (285509520).

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

114490080 is an frugal number, since it uses more digits than its factorization.

114490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114490080 is about 10700.0037383171. The cubic root of 114490080 is about 485.5745909026.

The spelling of 114490080 in words is "one hundred fourteen million, four hundred ninety thousand, eighty".