114254720 has 64 divisors (see below), whose sum is σ = 275032800. Its totient is φ = 45385728.

The previous prime is 114254713. The next prime is 114254737. The reversal of 114254720 is 27452411.

It is a Cunningham number, because it is equal to 10689²-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 114254720.

It is a congruent number.

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, 106346 + ... + 107414.

Almost surely, 2^114254720 is an apocalyptic number.

114254720 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 114254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137516400).

114254720 is an abundant number, since it is smaller than the sum of its proper divisors (160778080).

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

114254720 is a wasteful number, since it uses less digits than its factorization.

114254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 114254720 is about 10688.9999532229. Note that the first 4 decimals coincide. The cubic root of 114254720 is about 485.2416268648.

The spelling of 114254720 in words is "one hundred fourteen million, two hundred fifty-four thousand, seven hundred twenty".