115134215315040 has 288 divisors, whose sum is σ = 413958303682560. Its totient is φ = 29082445083648.

The previous prime is 115134215314999. The next prime is 115134215315059. The reversal of 115134215315040 is 40513512431511.

115134215315040 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 34 + 2 + 1 + 531 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115134215314986 and 115134215315004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13463760 + ... + 20286479.

It is an arithmetic number, because the mean of its divisors is an integer number (1437355221120).

Almost surely, 2^{115134215315040} is an apocalyptic number.

115134215315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115134215315040 is an abundant number, since it is smaller than the sum of its proper divisors (298824088367520).

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

115134215315040 is a wasteful number, since it uses less digits than its factorization.

115134215315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33750386 (or 33750375 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 115134215315040 its reverse (40513512431511), we get a palindrome (155647727746551).

The spelling of 115134215315040 in words is "one hundred fifteen trillion, one hundred thirty-four billion, two hundred fifteen million, three hundred fifteen thousand, forty".