114020520 has 128 divisors (see below), whose sum is σ = 368755200. Its totient is φ = 28111104.

The previous prime is 114020519. The next prime is 114020531. The reversal of 114020520 is 25020411.

It is a super-3 number, since 3×114020520³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114020520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97459 + ... + 98621.

It is an arithmetic number, because the mean of its divisors is an integer number (2880900).

Almost surely, 2^114020520 is an apocalyptic number.

114020520 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 114020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184377600).

114020520 is an abundant number, since it is smaller than the sum of its proper divisors (254734680).

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

114020520 is a wasteful number, since it uses less digits than its factorization.

114020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 114020520 is about 10678.0391458357. The cubic root of 114020520 is about 484.9098496841.

Adding to 114020520 its reverse (25020411), we get a palindrome (139040931).

The spelling of 114020520 in words is "one hundred fourteen million, twenty thousand, five hundred twenty".