114548256 has 72 divisors (see below), whose sum is σ = 337834224. Its totient is φ = 38180160.

The previous prime is 114548249. The next prime is 114548293. The reversal of 114548256 is 652845411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114548256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411 + ... + 15141.

It is an arithmetic number, because the mean of its divisors is an integer number (4692142).

Almost surely, 2^114548256 is an apocalyptic number.

114548256 is a gapful number since it is divisible by the number (16) 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 114548256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168917112).

114548256 is an abundant number, since it is smaller than the sum of its proper divisors (223285968).

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

114548256 is an equidigital number, since it uses as much as digits as its factorization.

114548256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756 (or 14736 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 114548256 is about 10702.7218967887. The cubic root of 114548256 is about 485.6568222018.

The spelling of 114548256 in words is "one hundred fourteen million, five hundred forty-eight thousand, two hundred fifty-six".