114139872 has 144 divisors (see below), whose sum is σ = 404756352. Its totient is φ = 29640960.

The previous prime is 114139871. The next prime is 114139877. The reversal of 114139872 is 278931411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114139871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19603 + ... + 24749.

It is an arithmetic number, because the mean of its divisors is an integer number (2810808).

Almost surely, 2^114139872 is an apocalyptic number.

114139872 is a gapful number since it is divisible by the number (12) 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 114139872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202378176).

114139872 is an abundant number, since it is smaller than the sum of its proper divisors (290616480).

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

114139872 is a wasteful number, since it uses less digits than its factorization.

114139872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5170 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 114139872 is about 10683.6263506358. The cubic root of 114139872 is about 485.0789852584.

The spelling of 114139872 in words is "one hundred fourteen million, one hundred thirty-nine thousand, eight hundred seventy-two".