114134144 has 32 divisors (see below), whose sum is σ = 230275200. Its totient is φ = 56339712.

The previous prime is 114134131. The next prime is 114134147. The reversal of 114134144 is 441431411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×114134144² = 26053205653225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114134147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4469 + ... + 15755.

It is an arithmetic number, because the mean of its divisors is an integer number (7196100).

Almost surely, 2^114134144 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 114134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115137600).

114134144 is an abundant number, since it is smaller than the sum of its proper divisors (116141056).

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

114134144 is an equidigital number, since it uses as much as digits as its factorization.

114134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11380 (or 11368 counting only the distinct ones).

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

The square root of 114134144 is about 10683.3582735018. The cubic root of 114134144 is about 485.0708707148.

Adding to 114134144 its reverse (441431411), we get a palindrome (555565555).

The spelling of 114134144 in words is "one hundred fourteen million, one hundred thirty-four thousand, one hundred forty-four".