114129 has 10 divisors (see below), whose sum is σ = 170610. Its totient is φ = 76032.

The previous prime is 114113. The next prime is 114143. The reversal of 114129 is 921411.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 50625 = 252^2 + 225^2 .

It is not a de Polignac number, because 114129 - 2⁴ = 114113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114199) 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 9 ways as a sum of consecutive naturals, for example, 624 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (17061).

2¹¹⁴¹²⁹ is an apocalyptic number.

It is an amenable number.

114129 is a deficient number, since it is larger than the sum of its proper divisors (56481).

114129 is an equidigital number, since it uses as much as digits as its factorization.

114129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1412 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 114129 is about 337.8298388242. The cubic root of 114129 is about 48.5063583261.

It can be divided in two parts, 114 and 129, that multiplied together give a triangular number (14706 = T₁₇₁).

The spelling of 114129 in words is "one hundred fourteen thousand, one hundred twenty-nine".