114504129 has 24 divisors (see below), whose sum is σ = 175534632. Its totient is φ = 71677440.

The previous prime is 114504121. The next prime is 114504133. The reversal of 114504129 is 921405411.

It can be written as a sum of positive squares in 4 ways, for example, as 70308225 + 44195904 = 8385^2 + 6648^2 .

It is not a de Polignac number, because 114504129 - 2³ = 114504121 is a prime.

It is a super-2 number, since 2×114504129² = 26222391116097282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114504121) 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 23 ways as a sum of consecutive naturals, for example, 111639 + ... + 112659.

It is an arithmetic number, because the mean of its divisors is an integer number (7313943).

Almost surely, 2^114504129 is an apocalyptic number.

It is an amenable number.

114504129 is a deficient number, since it is larger than the sum of its proper divisors (61030503).

114504129 is a wasteful number, since it uses less digits than its factorization.

114504129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114504129 is about 10700.6602132766. The cubic root of 114504129 is about 485.5944515997.

The spelling of 114504129 in words is "one hundred fourteen million, five hundred four thousand, one hundred twenty-nine".