114256720 has 20 divisors (see below), whose sum is σ = 265647060. Its totient is φ = 45702656.

The previous prime is 114256661. The next prime is 114256729. The reversal of 114256720 is 27652411.

It can be written as a sum of positive squares in 2 ways, for example, as 48776256 + 65480464 = 6984^2 + 8092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114256729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714025 + ... + 714184.

It is an arithmetic number, because the mean of its divisors is an integer number (13282353).

Almost surely, 2^114256720 is an apocalyptic number.

114256720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114256720 is an abundant number, since it is smaller than the sum of its proper divisors (151390340).

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

114256720 is a wasteful number, since it uses less digits than its factorization.

114256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428222 (or 1428216 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 114256720 is about 10689.0935069350. The cubic root of 114256720 is about 485.2444581923.

It can be divided in two parts, 11425 and 6720, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 114256720 in words is "one hundred fourteen million, two hundred fifty-six thousand, seven hundred twenty".