114970000 has 50 divisors (see below), whose sum is σ = 278378078. Its totient is φ = 45984000.

The previous prime is 114969991. The next prime is 114970013. The reversal of 114970000 is 79411.

It can be written as a sum of positive squares in 5 ways, for example, as 39488656 + 75481344 = 6284^2 + 8688^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4252 + ... + 15748.

Almost surely, 2^114970000 is an apocalyptic number.

114970000 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 114970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139189039).

114970000 is an abundant number, since it is smaller than the sum of its proper divisors (163408078).

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

114970000 is an equidigital number, since it uses as much as digits as its factorization.

114970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11504 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 114970000 is about 10722.4064463161. The cubic root of 114970000 is about 486.2521229611.

The spelling of 114970000 in words is "one hundred fourteen million, nine hundred seventy thousand".