114978720 has 48 divisors (see below), whose sum is σ = 362184480. Its totient is φ = 30660864.

The previous prime is 114978713. The next prime is 114978727. The reversal of 114978720 is 27879411.

It is an interprime number because it is at equal distance from previous prime (114978713) and next prime (114978727).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (114978727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119290 + ... + 120249.

It is an arithmetic number, because the mean of its divisors is an integer number (7545510).

Almost surely, 2^114978720 is an apocalyptic number.

114978720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114978720 is an abundant number, since it is smaller than the sum of its proper divisors (247205760).

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

114978720 is a wasteful number, since it uses less digits than its factorization.

114978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239557 (or 239549 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 114978720 is about 10722.8130637440. The cubic root of 114978720 is about 486.2644160559.

The spelling of 114978720 in words is "one hundred fourteen million, nine hundred seventy-eight thousand, seven hundred twenty".