115141036032 has 864 divisors, whose sum is σ = 406212861600. Its totient is φ = 32248627200.

The previous prime is 115141036007. The next prime is 115141036061. The reversal of 115141036032 is 230630141511.

It is a happy number.

115141036032 is a `hidden beast` number, since 1 + 1 + 51 + 4 + 1 + 0 + 3 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115141035987 and 115141036005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2808317932 + ... + 2808317972.

It is an arithmetic number, because the mean of its divisors is an integer number (470153775).

Almost surely, 2^115141036032 is an apocalyptic number.

115141036032 is a gapful number since it is divisible by the number (12) 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 115141036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203106430800).

115141036032 is an abundant number, since it is smaller than the sum of its proper divisors (291071825568).

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

115141036032 is an frugal number, since it uses more digits than its factorization.

115141036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 115141036032 its reverse (230630141511), we get a palindrome (345771177543).

The spelling of 115141036032 in words is "one hundred fifteen billion, one hundred forty-one million, thirty-six thousand, thirty-two".