114092000 has 96 divisors (see below), whose sum is σ = 305925984. Its totient is φ = 41472000.

The previous prime is 114091973. The next prime is 114092009. The reversal of 114092000 is 290411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114092000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114092009) 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, 42704 + ... + 45296.

It is an arithmetic number, because the mean of its divisors is an integer number (3186729).

Almost surely, 2^114092000 is an apocalyptic number.

114092000 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 114092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152962992).

114092000 is an abundant number, since it is smaller than the sum of its proper divisors (191833984).

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

114092000 is a wasteful number, since it uses less digits than its factorization.

114092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 114092000 is about 10681.3856778978. The cubic root of 114092000 is about 485.0111592713.

The spelling of 114092000 in words is "one hundred fourteen million, ninety-two thousand".