114544000 has 64 divisors (see below), whose sum is σ = 284824800. Its totient is φ = 45811200.

The previous prime is 114543991. The next prime is 114544013. The reversal of 114544000 is 445411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12421 + ... + 19579.

Almost surely, 2^114544000 is an apocalyptic number.

114544000 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 114544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142412400).

114544000 is an abundant number, since it is smaller than the sum of its proper divisors (170280800).

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

114544000 is an frugal number, since it uses more digits than its factorization.

114544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 114544000 is about 10702.5230670156. The cubic root of 114544000 is about 485.6508073247.

Adding to 114544000 its reverse (445411), we get a palindrome (114989411).

The spelling of 114544000 in words is "one hundred fourteen million, five hundred forty-four thousand".