114936192 has 128 divisors (see below), whose sum is σ = 387763200. Its totient is φ = 32832000.

The previous prime is 114936191. The next prime is 114936203. The reversal of 114936192 is 291639411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114936191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21817 + ... + 26567.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^114936192 is an apocalyptic number.

114936192 is a gapful number since it is divisible by the number (12) 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 114936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

114936192 is an abundant number, since it is smaller than the sum of its proper divisors (272827008).

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

114936192 is an equidigital number, since it uses as much as digits as its factorization.

114936192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4763 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 114936192 is about 10720.8298186288. The cubic root of 114936192 is about 486.2044559656.

The spelling of 114936192 in words is "one hundred fourteen million, nine hundred thirty-six thousand, one hundred ninety-two".