114342000 has 320 divisors, whose sum is σ = 417830400. Its totient is φ = 26726400.

The previous prime is 114341987. The next prime is 114342013. The reversal of 114342000 is 243411.

It is an interprime number because it is at equal distance from previous prime (114341987) and next prime (114342013).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1937971 + ... + 1938029.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^114342000 is an apocalyptic number.

114342000 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 114342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

114342000 is an abundant number, since it is smaller than the sum of its proper divisors (303488400).

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

114342000 is a wasteful number, since it uses less digits than its factorization.

114342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 114342000 is about 10693.0818756802. The cubic root of 114342000 is about 485.3651552683.

Adding to 114342000 its reverse (243411), we get a palindrome (114585411).

The spelling of 114342000 in words is "one hundred fourteen million, three hundred forty-two thousand".