114180192 has 360 divisors, whose sum is σ = 417130560. Its totient is φ = 30481920.

The previous prime is 114180191. The next prime is 114180259. The reversal of 114180192 is 291081411.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114180191) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3683217 + ... + 3683247.

It is an arithmetic number, because the mean of its divisors is an integer number (1158696).

Almost surely, 2^114180192 is an apocalyptic number.

114180192 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 114180192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

114180192 is an abundant number, since it is smaller than the sum of its proper divisors (302950368).

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

114180192 is a wasteful number, since it uses less digits than its factorization.

114180192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 114180192 is about 10685.5131837456. The cubic root of 114180192 is about 485.1360967124.

The spelling of 114180192 in words is "one hundred fourteen million, one hundred eighty thousand, one hundred ninety-two".