114365952 has 80 divisors (see below), whose sum is σ = 338572080. Its totient is φ = 38117376.

The previous prime is 114365941. The next prime is 114365963. The reversal of 114365952 is 259563411.

It is an interprime number because it is at equal distance from previous prime (114365941) and next prime (114365963).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9688 + ... + 17960.

It is an arithmetic number, because the mean of its divisors is an integer number (4232151).

Almost surely, 2^114365952 is an apocalyptic number.

114365952 is a gapful number since it is divisible by the number (12) 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 114365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169286040).

114365952 is an abundant number, since it is smaller than the sum of its proper divisors (224206128).

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

114365952 is an frugal number, since it uses more digits than its factorization.

114365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8278 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 114365952 is about 10694.2017934954. The cubic root of 114365952 is about 485.3990438206.

The spelling of 114365952 in words is "one hundred fourteen million, three hundred sixty-five thousand, nine hundred fifty-two".