114820000 has 60 divisors (see below), whose sum is σ = 282523626. Its totient is φ = 45920000.

The previous prime is 114819997. The next prime is 114820007. The reversal of 114820000 is 28411.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1354896 + 113465104 = 1164^2 + 10652^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (114820007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17130 + ... + 22870.

Almost surely, 2^114820000 is an apocalyptic number.

114820000 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 114820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261813).

114820000 is an abundant number, since it is smaller than the sum of its proper divisors (167703626).

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

114820000 is an frugal number, since it uses more digits than its factorization.

114820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 114820000 is about 10715.4094648781. The cubic root of 114820000 is about 486.0405617949.

Adding to 114820000 its reverse (28411), we get a palindrome (114848411).

The spelling of 114820000 in words is "one hundred fourteen million, eight hundred twenty thousand".