114347520 has 240 divisors, whose sum is σ = 453229920. Its totient is φ = 26099712.

The previous prime is 114347509. The next prime is 114347521. The reversal of 114347520 is 25743411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114347521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160926 + ... + 161634.

It is an arithmetic number, because the mean of its divisors is an integer number (1888458).

Almost surely, 2^114347520 is an apocalyptic number.

114347520 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 114347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226614960).

114347520 is an abundant number, since it is smaller than the sum of its proper divisors (338882400).

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

114347520 is an equidigital number, since it uses as much as digits as its factorization.

114347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 114347520 is about 10693.3399833728. The cubic root of 114347520 is about 485.3729656750.

The spelling of 114347520 in words is "one hundred fourteen million, three hundred forty-seven thousand, five hundred twenty".