114205520 has 160 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 37509120.

The previous prime is 114205501. The next prime is 114205543. The reversal of 114205520 is 25502411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114205492 and 114205501.

It is a congruent number.

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, 766406 + ... + 766554.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^114205520 is an apocalyptic number.

114205520 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 114205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

114205520 is an abundant number, since it is smaller than the sum of its proper divisors (204524080).

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

114205520 is a wasteful number, since it uses less digits than its factorization.

114205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 114205520 is about 10686.6982740227. The cubic root of 114205520 is about 485.1719658020.

Adding to 114205520 its reverse (25502411), we get a palindrome (139707931).

The spelling of 114205520 in words is "one hundred fourteen million, two hundred five thousand, five hundred twenty".