114339120 has 80 divisors (see below), whose sum is σ = 405093120. Its totient is φ = 26134272.

The previous prime is 114339103. The next prime is 114339133. The reversal of 114339120 is 21933411.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32350 + ... + 35709.

It is an arithmetic number, because the mean of its divisors is an integer number (5063664).

Almost surely, 2^114339120 is an apocalyptic number.

114339120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114339120 is an abundant number, since it is smaller than the sum of its proper divisors (290754000).

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

114339120 is a wasteful number, since it uses less digits than its factorization.

114339120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68082 (or 68076 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 114339120 is about 10692.9472083238. The cubic root of 114339120 is about 485.3610801738.

It can be divided in two parts, 1143391 and 20, that added together give a palindrome (1143411).

The spelling of 114339120 in words is "one hundred fourteen million, three hundred thirty-nine thousand, one hundred twenty".