114144192 has 84 divisors (see below), whose sum is σ = 333435960. Its totient is φ = 37320192.

The previous prime is 114144161. The next prime is 114144209. The reversal of 114144192 is 291441411.

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

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, 28659 + ... + 32397.

Almost surely, 2^114144192 is an apocalyptic number.

114144192 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 114144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166717980).

114144192 is an abundant number, since it is smaller than the sum of its proper divisors (219291768).

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

114144192 is a wasteful number, since it uses less digits than its factorization.

114144192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3797 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 114144192 is about 10683.8285272649. The cubic root of 114144192 is about 485.0851049860.

The spelling of 114144192 in words is "one hundred fourteen million, one hundred forty-four thousand, one hundred ninety-two".