114045720 has 64 divisors (see below), whose sum is σ = 345496320. Its totient is φ = 30113664.

The previous prime is 114045709. The next prime is 114045727. The reversal of 114045720 is 27540411.

It is a super-3 number, since 3×114045720³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114045727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7747 + ... + 16973.

It is an arithmetic number, because the mean of its divisors is an integer number (5398380).

Almost surely, 2^114045720 is an apocalyptic number.

114045720 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 114045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172748160).

114045720 is an abundant number, since it is smaller than the sum of its proper divisors (231450600).

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

114045720 is a wasteful number, since it uses less digits than its factorization.

114045720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9340 counting only the distinct ones).

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

The square root of 114045720 is about 10679.2190725727. The cubic root of 114045720 is about 484.9455708218.

The spelling of 114045720 in words is "one hundred fourteen million, forty-five thousand, seven hundred twenty".