114148440 has 240 divisors, whose sum is σ = 446925600. Its totient is φ = 26054784.

The previous prime is 114148427. The next prime is 114148457. The reversal of 114148440 is 44841411.

114148440 is a `hidden beast` number, since 1 + 141 + 484 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 158401 + ... + 159119.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 2^114148440 is an apocalyptic number.

114148440 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 114148440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223462800).

114148440 is an abundant number, since it is smaller than the sum of its proper divisors (332777160).

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

114148440 is a wasteful number, since it uses less digits than its factorization.

114148440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 114148440 is about 10684.0273305528. The cubic root of 114148440 is about 485.0911225676.

Adding to 114148440 its reverse (44841411), we get a palindrome (158989851).

The spelling of 114148440 in words is "one hundred fourteen million, one hundred forty-eight thousand, four hundred forty".