114729000 has 128 divisors (see below), whose sum is σ = 361670400. Its totient is φ = 30278400.

The previous prime is 114728993. The next prime is 114729007. The reversal of 114729000 is 927411.

It is an interprime number because it is at equal distance from previous prime (114728993) and next prime (114729007).

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

It is not an unprimeable number, because it can be changed into a prime (114729007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500886 + ... + 501114.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^114729000 is an apocalyptic number.

114729000 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 114729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).

114729000 is an abundant number, since it is smaller than the sum of its proper divisors (246941400).

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

114729000 is a wasteful number, since it uses less digits than its factorization.

114729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

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

The square root of 114729000 is about 10711.1624019058. The cubic root of 114729000 is about 485.9121248764.

The spelling of 114729000 in words is "one hundred fourteen million, seven hundred twenty-nine thousand".