114451740 has 144 divisors (see below), whose sum is σ = 380671200. Its totient is φ = 27661824.

The previous prime is 114451679. The next prime is 114451741. The reversal of 114451740 is 47154411.

114451740 is a `hidden beast` number, since 1 + 144 + 517 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114451741) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 137646 + ... + 138474.

It is an arithmetic number, because the mean of its divisors is an integer number (2643550).

Almost surely, 2^114451740 is an apocalyptic number.

114451740 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 114451740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190335600).

114451740 is an abundant number, since it is smaller than the sum of its proper divisors (266219460).

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

114451740 is a wasteful number, since it uses less digits than its factorization.

114451740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 114451740 is about 10698.2120001428. The cubic root of 114451740 is about 485.5203823973.

The spelling of 114451740 in words is "one hundred fourteen million, four hundred fifty-one thousand, seven hundred forty".