114920000 has 210 divisors, whose sum is σ = 326721978. Its totient is φ = 39936000.

The previous prime is 114919997. The next prime is 114920021. The reversal of 114920000 is 29411.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 112869376 + 2050624 = 10624^2 + 1432^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6759992 + ... + 6760008.

Almost surely, 2^114920000 is an apocalyptic number.

114920000 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 114920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163360989).

114920000 is an abundant number, since it is smaller than the sum of its proper divisors (211801978).

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

114920000 is an equidigital number, since it uses as much as digits as its factorization.

114920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 114920000 is about 10720.0746266059. The cubic root of 114920000 is about 486.1816230293.

Multiplying 114920000 by its sum of digits (17), we get a square (1953640000 = 44200²).

114920000 divided by its sum of digits (17) gives a square (6760000 = 2600²).

Adding to 114920000 its reverse (29411), we get a palindrome (114949411).

The spelling of 114920000 in words is "one hundred fourteen million, nine hundred twenty thousand".