115441536 has 128 divisors (see below), whose sum is σ = 356232960. Its totient is φ = 32440320.

The previous prime is 115441519. The next prime is 115441537. The reversal of 115441536 is 635144511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (7200) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115441537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179776 + ... + 180416.

It is an arithmetic number, because the mean of its divisors is an integer number (2783070).

Almost surely, 2^115441536 is an apocalyptic number.

115441536 is a gapful number since it is divisible by the number (16) 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 115441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178116480).

115441536 is an abundant number, since it is smaller than the sum of its proper divisors (240791424).

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

115441536 is an equidigital number, since it uses as much as digits as its factorization.

115441536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 115441536 is about 10744.3722943688. The cubic root of 115441536 is about 486.9159849279.

The spelling of 115441536 in words is "one hundred fifteen million, four hundred forty-one thousand, five hundred thirty-six".