114132420 has 72 divisors (see below), whose sum is σ = 355579224. Its totient is φ = 29611008.

The previous prime is 114132419. The next prime is 114132427. The reversal of 114132420 is 24231411.

114132420 is a `hidden beast` number, since 11 + 413 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 109872324 = 2064^2 + 10482^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114132393 and 114132402.

It is not an unprimeable number, because it can be changed into a prime (114132427) 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 23 ways as a sum of consecutive naturals, for example, 1909 + ... + 15228.

Almost surely, 2^114132420 is an apocalyptic number.

114132420 is a gapful number since it is divisible by the number (10) 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 114132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177789612).

114132420 is an abundant number, since it is smaller than the sum of its proper divisors (241446804).

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

114132420 is a wasteful number, since it uses less digits than its factorization.

114132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17189 (or 17184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114132420 is about 10683.2775869580. The cubic root of 114132420 is about 485.0684283654.

Adding to 114132420 its reverse (24231411), we get a palindrome (138363831).

The spelling of 114132420 in words is "one hundred fourteen million, one hundred thirty-two thousand, four hundred twenty".