114350124 has 72 divisors (see below), whose sum is σ = 313307568. Its totient is φ = 32363520.

The previous prime is 114350123. The next prime is 114350129. The reversal of 114350124 is 421053411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 114350124.

It is not an unprimeable number, because it can be changed into a prime (114350123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65584 + ... + 67304.

It is an arithmetic number, because the mean of its divisors is an integer number (4351494).

Almost surely, 2^114350124 is an apocalyptic number.

114350124 is a gapful number since it is divisible by the number (14) 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 114350124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156653784).

114350124 is an abundant number, since it is smaller than the sum of its proper divisors (198957444).

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

114350124 is a wasteful number, since it uses less digits than its factorization.

114350124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114350124 is about 10693.4617407087. The cubic root of 114350124 is about 485.3766500621.

The spelling of 114350124 in words is "one hundred fourteen million, three hundred fifty thousand, one hundred twenty-four".