114138 has 24 divisors (see below), whose sum is σ = 262548. Its totient is φ = 35712.

The previous prime is 114113. The next prime is 114143. The reversal of 114138 is 831411.

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 3249 = 333^2 + 57^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 114138.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120 + ... + 492.

2¹¹⁴¹³⁸ is an apocalyptic number.

114138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131274).

114138 is an abundant number, since it is smaller than the sum of its proper divisors (148410).

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

114138 is a wasteful number, since it uses less digits than its factorization.

114138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 114138 is about 337.8431588770. The cubic root of 114138 is about 48.5076333329.

Adding to 114138 its reverse (831411), we get a palindrome (945549).

It can be divided in two parts, 114 and 138, that added together give a palindrome (252).

The spelling of 114138 in words is "one hundred fourteen thousand, one hundred thirty-eight".