114141800 has 48 divisors (see below), whose sum is σ = 266818860. Its totient is φ = 45409280.

The previous prime is 114141793. The next prime is 114141809. The reversal of 114141800 is 8141411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52330756 + 61811044 = 7234^2 + 7862^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114141809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37952 + ... + 40848.

Almost surely, 2^114141800 is an apocalyptic number.

114141800 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 114141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133409430).

114141800 is an abundant number, since it is smaller than the sum of its proper divisors (152677060).

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

114141800 is a wasteful number, since it uses less digits than its factorization.

114141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 114141800 is about 10683.7165817893. The cubic root of 114141800 is about 485.0817164893.

The spelling of 114141800 in words is "one hundred fourteen million, one hundred forty-one thousand, eight hundred".