114131124 has 36 divisors (see below), whose sum is σ = 298449060. Its totient is φ = 36731520.

The previous prime is 114131123. The next prime is 114131137. The reversal of 114131124 is 421131411.

It can be written as a sum of positive squares in 2 ways, for example, as 53758224 + 60372900 = 7332^2 + 7770^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114131097 and 114131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53617 + ... + 55704.

Almost surely, 2^114131124 is an apocalyptic number.

It is an amenable number.

114131124 is an abundant number, since it is smaller than the sum of its proper divisors (184317936).

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

114131124 is a wasteful number, since it uses less digits than its factorization.

114131124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109360 (or 109355 counting only the distinct ones).

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

The square root of 114131124 is about 10683.2169312431. The cubic root of 114131124 is about 485.0665923371.

Adding to 114131124 its reverse (421131411), we get a palindrome (535262535).

The spelling of 114131124 in words is "one hundred fourteen million, one hundred thirty-one thousand, one hundred twenty-four".