114456150 has 72 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 29939520.

The previous prime is 114456143. The next prime is 114456151. The reversal of 114456150 is 51654411.

114456150 is a `hidden beast` number, since 1 + 1 + 4 + 45 + 615 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114456151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21451 + ... + 26249.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^114456150 is an apocalyptic number.

114456150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114456150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

114456150 is an abundant number, since it is smaller than the sum of its proper divisors (198916650).

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

114456150 is a wasteful number, since it uses less digits than its factorization.

114456150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 114456150 is about 10698.4181073652. The cubic root of 114456150 is about 485.5266182640.

The spelling of 114456150 in words is "one hundred fourteen million, four hundred fifty-six thousand, one hundred fifty".