114006144 has 192 divisors, whose sum is σ = 361398240. Its totient is φ = 31739904.

The previous prime is 114006119. The next prime is 114006149. The reversal of 114006144 is 441600411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 114006144.

It is not an unprimeable number, because it can be changed into a prime (114006149) 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 23 ways as a sum of consecutive naturals, for example, 1373527 + ... + 1373609.

Almost surely, 2^114006144 is an apocalyptic number.

114006144 is a gapful number since it is divisible by the number (14) 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 114006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180699120).

114006144 is an abundant number, since it is smaller than the sum of its proper divisors (247392096).

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

114006144 is an equidigital number, since it uses as much as digits as its factorization.

114006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114006144 is about 10677.3659673161. The cubic root of 114006144 is about 484.8894692678.

Adding to 114006144 its reverse (441600411), we get a palindrome (555606555).

The spelling of 114006144 in words is "one hundred fourteen million, six thousand, one hundred forty-four".