114206144 has 42 divisors (see below), whose sum is σ = 245424960. Its totient is φ = 52705536.

The previous prime is 114206137. The next prime is 114206159. The reversal of 114206144 is 441602411.

It is a happy number.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5537 + ... + 16095.

Almost surely, 2^114206144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122712480).

114206144 is an abundant number, since it is smaller than the sum of its proper divisors (131218816).

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

114206144 is a wasteful number, since it uses less digits than its factorization.

114206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 114206144 is about 10686.7274691554. The cubic root of 114206144 is about 485.1728494334.

Adding to 114206144 its reverse (441602411), we get a palindrome (555808555).

The spelling of 114206144 in words is "one hundred fourteen million, two hundred six thousand, one hundred forty-four".