114036000 has 384 divisors, whose sum is σ = 435891456. Its totient is φ = 25804800.

The previous prime is 114035993. The next prime is 114036007. The reversal of 114036000 is 630411.

It is an interprime number because it is at equal distance from previous prime (114035993) and next prime (114036007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114036007) 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, 2651979 + ... + 2652021.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 2^114036000 is an apocalyptic number.

114036000 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 114036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

114036000 is an abundant number, since it is smaller than the sum of its proper divisors (321855456).

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

114036000 is a wasteful number, since it uses less digits than its factorization.

114036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114036000 is about 10678.7639734194. The cubic root of 114036000 is about 484.9317932921.

Adding to 114036000 its reverse (630411), we get a palindrome (114666411).

The spelling of 114036000 in words is "one hundred fourteen million, thirty-six thousand".