114133068 has 72 divisors (see below), whose sum is σ = 334414080. Its totient is φ = 32145120.

The previous prime is 114133043. The next prime is 114133069. The reversal of 114133068 is 860331411.

It is a super-2 number, since 2×114133068² = 26052714422185248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114133069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14703 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (4644640).

Almost surely, 2^114133068 is an apocalyptic number.

114133068 is a gapful number since it is divisible by the number (18) 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 114133068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167207040).

114133068 is an abundant number, since it is smaller than the sum of its proper divisors (220281012).

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

114133068 is a wasteful number, since it uses less digits than its factorization.

114133068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114133068 is about 10683.3079146863. The cubic root of 114133068 is about 485.0693463743.

Adding to 114133068 its reverse (860331411), we get a palindrome (974464479).

The spelling of 114133068 in words is "one hundred fourteen million, one hundred thirty-three thousand, sixty-eight".