114137344 has 36 divisors (see below), whose sum is σ = 231595420. Its totient is φ = 56125440.

The previous prime is 114137321. The next prime is 114137347. The reversal of 114137344 is 443731411.

It can be written as a sum of positive squares in 2 ways, for example, as 21977344 + 92160000 = 4688^2 + 9600^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114137347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11962 + ... + 19270.

Almost surely, 2^114137344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115797710).

114137344 is an abundant number, since it is smaller than the sum of its proper divisors (117458076).

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

114137344 is an frugal number, since it uses more digits than its factorization.

114137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7372 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 114137344 is about 10683.5080380931. The cubic root of 114137344 is about 485.0754040129.

Adding to 114137344 its reverse (443731411), we get a palindrome (557868755).

It can be divided in two parts, 114137 and 344, that added together give a triangular number (114481 = T₄₇₈).

The spelling of 114137344 in words is "one hundred fourteen million, one hundred thirty-seven thousand, three hundred forty-four".