114880152 has 64 divisors (see below), whose sum is σ = 305510400. Its totient is φ = 35873280.

The previous prime is 114880109. The next prime is 114880177. The reversal of 114880152 is 251088411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110049 + ... + 111087.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^114880152 is an apocalyptic number.

114880152 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 114880152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

114880152 is an abundant number, since it is smaller than the sum of its proper divisors (190630248).

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

114880152 is a wasteful number, since it uses less digits than its factorization.

114880152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1332 counting only the distinct ones).

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

The square root of 114880152 is about 10718.2158963141. The cubic root of 114880152 is about 486.1254227597.

The spelling of 114880152 in words is "one hundred fourteen million, eight hundred eighty thousand, one hundred fifty-two".