114733760 has 84 divisors (see below), whose sum is σ = 280617168. Its totient is φ = 44677632.

The previous prime is 114733757. The next prime is 114733769. The reversal of 114733760 is 67337411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (114733769) 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 11 ways as a sum of consecutive naturals, for example, 1113869 + ... + 1113971.

Almost surely, 2^114733760 is an apocalyptic number.

114733760 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 114733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140308584).

114733760 is an abundant number, since it is smaller than the sum of its proper divisors (165883408).

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

114733760 is an equidigital number, since it uses as much as digits as its factorization.

114733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 114733760 is about 10711.3845977072. The cubic root of 114733760 is about 485.9188447983.

The spelling of 114733760 in words is "one hundred fourteen million, seven hundred thirty-three thousand, seven hundred sixty".