114279000 has 128 divisors (see below), whose sum is σ = 389076480. Its totient is φ = 27696000.

The previous prime is 114278999. The next prime is 114279007. The reversal of 114279000 is 972411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114279007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31269 + ... + 34731.

It is an arithmetic number, because the mean of its divisors is an integer number (3039660).

Almost surely, 2^114279000 is an apocalyptic number.

114279000 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 114279000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194538240).

114279000 is an abundant number, since it is smaller than the sum of its proper divisors (274797480).

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

114279000 is a wasteful number, since it uses less digits than its factorization.

114279000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 114279000 is about 10690.1356399252. The cubic root of 114279000 is about 485.2759969467.

The spelling of 114279000 in words is "one hundred fourteen million, two hundred seventy-nine thousand".