115532120 has 64 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 41374080.

The previous prime is 115532111. The next prime is 115532129. The reversal of 115532120 is 21235511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115532111) and next prime (115532129).

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 = 115532092 and 115532101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115532129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27521 + ... + 31439.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^115532120 is an apocalyptic number.

115532120 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 115532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

115532120 is an abundant number, since it is smaller than the sum of its proper divisors (172352680).

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

115532120 is a wasteful number, since it uses less digits than its factorization.

115532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 115532120 is about 10748.5868838652. The cubic root of 115532120 is about 487.0433084420.

Adding to 115532120 its reverse (21235511), we get a palindrome (136767631).

It can be divided in two parts, 115 and 532120, that added together give a palindrome (532235).

The spelling of 115532120 in words is "one hundred fifteen million, five hundred thirty-two thousand, one hundred twenty".