114540720 has 160 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 25267200.

The previous prime is 114540719. The next prime is 114540733. The reversal of 114540720 is 27045411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47545 + ... + 49895.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^114540720 is an apocalyptic number.

114540720 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 114540720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

114540720 is an abundant number, since it is smaller than the sum of its proper divisors (305432400).

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

114540720 is a wasteful number, since it uses less digits than its factorization.

114540720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 114540720 is about 10702.3698310234. The cubic root of 114540720 is about 485.6461716975.

The spelling of 114540720 in words is "one hundred fourteen million, five hundred forty thousand, seven hundred twenty".