114200129 has 16 divisors (see below), whose sum is σ = 122774400. Its totient is φ = 105959040.

The previous prime is 114200081. The next prime is 114200147. The reversal of 114200129 is 921002411.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114200129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114200129.

It is not an unprimeable number, because it can be changed into a prime (114200179) 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 15 ways as a sum of consecutive naturals, for example, 327047 + ... + 327395.

It is an arithmetic number, because the mean of its divisors is an integer number (7673400).

Almost surely, 2^114200129 is an apocalyptic number.

It is an amenable number.

114200129 is a deficient number, since it is larger than the sum of its proper divisors (8574271).

114200129 is a wasteful number, since it uses less digits than its factorization.

114200129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 114200129 is about 10686.4460415987. The cubic root of 114200129 is about 485.1643316023.

The spelling of 114200129 in words is "one hundred fourteen million, two hundred thousand, one hundred twenty-nine".