114289136 has 80 divisors (see below), whose sum is σ = 247900800. Its totient is φ = 50713344.

The previous prime is 114289129. The next prime is 114289151. The reversal of 114289136 is 631982411.

It is a junction number, because it is equal to n+sod(n) for n = 114289096 and 114289105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 822155 + ... + 822293.

It is an arithmetic number, because the mean of its divisors is an integer number (3098760).

Almost surely, 2^114289136 is an apocalyptic number.

114289136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114289136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123950400).

114289136 is an abundant number, since it is smaller than the sum of its proper divisors (133611664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114289136 is a wasteful number, since it uses less digits than its factorization.

114289136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 114289136 is about 10690.6097113308. The cubic root of 114289136 is about 485.2903437415.

The spelling of 114289136 in words is "one hundred fourteen million, two hundred eighty-nine thousand, one hundred thirty-six".