115440541153542 has 96 divisors (see below), whose sum is σ = 275791838160384. Its totient is φ = 34606348761600.

The previous prime is 115440541153489. The next prime is 115440541153547. The reversal of 115440541153542 is 245351145044511.

115440541153542 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 4 + 0 + 54 + 1 + 1 + 53 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115440541153547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43084623 + ... + 45685509.

It is an arithmetic number, because the mean of its divisors is an integer number (2872831647504).

Almost surely, 2^{115440541153542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115440541153542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137895919080192).

115440541153542 is an abundant number, since it is smaller than the sum of its proper divisors (160351297006842).

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

115440541153542 is a wasteful number, since it uses less digits than its factorization.

115440541153542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603314 (or 2603311 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 115440541153542 in words is "one hundred fifteen trillion, four hundred forty billion, five hundred forty-one million, one hundred fifty-three thousand, five hundred forty-two".