114123520 has 144 divisors (see below), whose sum is σ = 320237568. Its totient is φ = 38154240.

The previous prime is 114123517. The next prime is 114123521. The reversal of 114123520 is 25321411.

It is not an unprimeable number, because it can be changed into a prime (114123521) 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 15 ways as a sum of consecutive naturals, for example, 420985 + ... + 421255.

It is an arithmetic number, because the mean of its divisors is an integer number (2223872).

Almost surely, 2^114123520 is an apocalyptic number.

114123520 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 114123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160118784).

114123520 is an abundant number, since it is smaller than the sum of its proper divisors (206114048).

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

114123520 is an equidigital number, since it uses as much as digits as its factorization.

114123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 114123520 is about 10682.8610400023. The cubic root of 114123520 is about 485.0558195576.

Adding to 114123520 its reverse (25321411), we get a palindrome (139444931).

The spelling of 114123520 in words is "one hundred fourteen million, one hundred twenty-three thousand, five hundred twenty".