114739200 has 288 divisors, whose sum is σ = 426535200. Its totient is φ = 30228480.

The previous prime is 114739199. The next prime is 114739201. The reversal of 114739200 is 2937411.

It is an interprime number because it is at equal distance from previous prime (114739199) and next prime (114739201).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114739201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382359 + ... + 1382441.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^114739200 is an apocalyptic number.

114739200 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 114739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

114739200 is an abundant number, since it is smaller than the sum of its proper divisors (311796000).

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

114739200 is an equidigital number, since it uses as much as digits as its factorization.

114739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 114739200 is about 10711.6385301223. The cubic root of 114739200 is about 485.9265244813.

The spelling of 114739200 in words is "one hundred fourteen million, seven hundred thirty-nine thousand, two hundred".