114549920 has 48 divisors (see below), whose sum is σ = 273194208. Its totient is φ = 45384960.

The previous prime is 114549901. The next prime is 114549977. The reversal of 114549920 is 29945411.

It is an unprimeable number.

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, 13775 + ... + 20465.

It is an arithmetic number, because the mean of its divisors is an integer number (5691546).

Almost surely, 2^114549920 is an apocalyptic number.

114549920 is a gapful number since it is divisible by the number (10) 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 114549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136597104).

114549920 is an abundant number, since it is smaller than the sum of its proper divisors (158644288).

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

114549920 is a wasteful number, since it uses less digits than its factorization.

114549920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 114549920 is about 10702.7996337407. The cubic root of 114549920 is about 485.6591738425.

The spelling of 114549920 in words is "one hundred fourteen million, five hundred forty-nine thousand, nine hundred twenty".