114187248 has 90 divisors (see below), whose sum is σ = 371762664. Its totient is φ = 32622912.

The previous prime is 114187219. The next prime is 114187253. The reversal of 114187248 is 842781411.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1036 + ... + 15147.

Almost surely, 2^114187248 is an apocalyptic number.

114187248 is a gapful number since it is divisible by the number (18) 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 114187248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185881332).

114187248 is an abundant number, since it is smaller than the sum of its proper divisors (257575416).

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

114187248 is a wasteful number, since it uses less digits than its factorization.

114187248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16211 (or 16195 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 114187248 is about 10685.8433452863. The cubic root of 114187248 is about 485.1460898344.

The spelling of 114187248 in words is "one hundred fourteen million, one hundred eighty-seven thousand, two hundred forty-eight".