114264137 has 8 divisors (see below), whose sum is σ = 123681096. Its totient is φ = 104936832.

The previous prime is 114264121. The next prime is 114264149. The reversal of 114264137 is 731462411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8976016 + 105288121 = 2996^2 + 10261^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114264137 - 2⁴ = 114264121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114264107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19748 + ... + 24869.

It is an arithmetic number, because the mean of its divisors is an integer number (15460137).

Almost surely, 2^114264137 is an apocalyptic number.

It is an amenable number.

114264137 is a deficient number, since it is larger than the sum of its proper divisors (9416959).

114264137 is a wasteful number, since it uses less digits than its factorization.

114264137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44827.

The product of its digits is 4032, while the sum is 29.

The square root of 114264137 is about 10689.4404437276. The cubic root of 114264137 is about 485.2549578819.

The spelling of 114264137 in words is "one hundred fourteen million, two hundred sixty-four thousand, one hundred thirty-seven".