115650144 has 144 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 36449280.

The previous prime is 115650121. The next prime is 115650149. The reversal of 115650144 is 441056511.

115650144 is a `hidden beast` number, since 1 + 1 + 5 + 650 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115650149) 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 23 ways as a sum of consecutive naturals, for example, 509359 + ... + 509585.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^115650144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

115650144 is an abundant number, since it is smaller than the sum of its proper divisors (231671376).

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

115650144 is a wasteful number, since it uses less digits than its factorization.

115650144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115650144 is about 10754.0756924991. The cubic root of 115650144 is about 487.2091014016.

The spelling of 115650144 in words is "one hundred fifteen million, six hundred fifty thousand, one hundred forty-four".