114289920 has 144 divisors (see below), whose sum is σ = 405693120. Its totient is φ = 30468096.

The previous prime is 114289913. The next prime is 114289927. The reversal of 114289920 is 29982411.

It is an interprime number because it is at equal distance from previous prime (114289913) and next prime (114289927).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114289927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32907 + ... + 36213.

Almost surely, 2^114289920 is an apocalyptic number.

114289920 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 114289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202846560).

114289920 is an abundant number, since it is smaller than the sum of its proper divisors (291403200).

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

114289920 is an equidigital number, since it uses as much as digits as its factorization.

114289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114289920 is about 10690.6463789614. The cubic root of 114289920 is about 485.2914534030.

The spelling of 114289920 in words is "one hundred fourteen million, two hundred eighty-nine thousand, nine hundred twenty".