114189240 has 256 divisors, whose sum is σ = 409536000. Its totient is φ = 25159680.

The previous prime is 114189197. The next prime is 114189241. The reversal of 114189240 is 42981411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114189198 and 114189207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114189241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727242 + ... + 727398.

It is an arithmetic number, because the mean of its divisors is an integer number (1599750).

Almost surely, 2^114189240 is an apocalyptic number.

114189240 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 114189240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204768000).

114189240 is an abundant number, since it is smaller than the sum of its proper divisors (295346760).

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

114189240 is a wasteful number, since it uses less digits than its factorization.

114189240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 114189240 is about 10685.9365523102. The cubic root of 114189240 is about 485.1489109475.

The spelling of 114189240 in words is "one hundred fourteen million, one hundred eighty-nine thousand, two hundred forty".