114353000 has 64 divisors (see below), whose sum is σ = 269539920. Its totient is φ = 45408000.

The previous prime is 114352993. The next prime is 114353011. The reversal of 114353000 is 353411.

It can be written as a sum of positive squares in 8 ways, for example, as 34035556 + 80317444 = 5834^2 + 8962^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114353000.

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 15 ways as a sum of consecutive naturals, for example, 172670 + ... + 173330.

Almost surely, 2^114353000 is an apocalyptic number.

114353000 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 114353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134769960).

114353000 is an abundant number, since it is smaller than the sum of its proper divisors (155186920).

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

114353000 is a wasteful number, since it uses less digits than its factorization.

114353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 114353000 is about 10693.5962145576. The cubic root of 114353000 is about 485.3807192358.

The spelling of 114353000 in words is "one hundred fourteen million, three hundred fifty-three thousand".