114784137 has 12 divisors (see below), whose sum is σ = 178553284. Its totient is φ = 70636320.

The previous prime is 114784129. The next prime is 114784141. The reversal of 114784137 is 731487411.

It can be written as a sum of positive squares in 2 ways, for example, as 76108176 + 38675961 = 8724^2 + 6219^2 .

It is not a de Polignac number, because 114784137 - 2³ = 114784129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114784837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490414 + ... + 490647.

Almost surely, 2^114784137 is an apocalyptic number.

It is an amenable number.

114784137 is a deficient number, since it is larger than the sum of its proper divisors (63769147).

114784137 is a wasteful number, since it uses less digits than its factorization.

114784137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981080 (or 981077 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 114784137 is about 10713.7359030359. The cubic root of 114784137 is about 485.9899530515.

It can be divided in two parts, 114784 and 137, that added together give a square (114921 = 339²).

The spelling of 114784137 in words is "one hundred fourteen million, seven hundred eighty-four thousand, one hundred thirty-seven".