114133201 has 12 divisors (see below), whose sum is σ = 142980852. Its totient is φ = 90302688.

The previous prime is 114133177. The next prime is 114133211. The reversal of 114133201 is 102331411.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 43573201 = 8400^2 + 6601^2 .

It is not a de Polignac number, because 114133201 - 2⁷ = 114133073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114133211) 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 11 ways as a sum of consecutive naturals, for example, 88950 + ... + 90223.

It is an arithmetic number, because the mean of its divisors is an integer number (11915071).

Almost surely, 2^114133201 is an apocalyptic number.

It is an amenable number.

114133201 is a deficient number, since it is larger than the sum of its proper divisors (28847651).

114133201 is a wasteful number, since it uses less digits than its factorization.

114133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179200 (or 179193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 114133201 is about 10683.3141393483. The cubic root of 114133201 is about 485.0695347924.

Adding to 114133201 its reverse (102331411), we get a palindrome (216464612).

The spelling of 114133201 in words is "one hundred fourteen million, one hundred thirty-three thousand, two hundred one".