114158208 has 64 divisors (see below), whose sum is σ = 304629120. Its totient is φ = 37877760.

The previous prime is 114158201. The next prime is 114158221. The reversal of 114158208 is 802851411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (114158201) 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 7 ways as a sum of consecutive naturals, for example, 103516 + ... + 104612.

It is an arithmetic number, because the mean of its divisors is an integer number (4759830).

Almost surely, 2^114158208 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 114158208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152314560).

114158208 is an abundant number, since it is smaller than the sum of its proper divisors (190470912).

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

114158208 is a wasteful number, since it uses less digits than its factorization.

114158208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 114158208 is about 10684.4844517646. The cubic root of 114158208 is about 485.1049590392.

The spelling of 114158208 in words is "one hundred fourteen million, one hundred fifty-eight thousand, two hundred eight".