114336000 has 216 divisors, whose sum is σ = 412450584. Its totient is φ = 30412800.

The previous prime is 114335993. The next prime is 114336023. The reversal of 114336000 is 633411.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 112529664 = 1344^2 + 10608^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287802 + ... + 288198.

Almost surely, 2^114336000 is an apocalyptic number.

114336000 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 114336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206225292).

114336000 is an abundant number, since it is smaller than the sum of its proper divisors (298114584).

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

114336000 is an equidigital number, since it uses as much as digits as its factorization.

114336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 114336000 is about 10692.8013167738. The cubic root of 114336000 is about 485.3566654108.

Adding to 114336000 its reverse (633411), we get a palindrome (114969411).

The spelling of 114336000 in words is "one hundred fourteen million, three hundred thirty-six thousand".