115306007135 has 16 divisors (see below), whose sum is σ = 152440568352. Its totient is φ = 83028624000.

The previous prime is 115306007027. The next prime is 115306007137. The reversal of 115306007135 is 531700603511.

It is not a de Polignac number, because 115306007135 - 2¹⁰ = 115306006111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115306007137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10373024 + ... + 10384133.

It is an arithmetic number, because the mean of its divisors is an integer number (9527535522).

Almost surely, 2^115306007135 is an apocalyptic number.

115306007135 is a deficient number, since it is larger than the sum of its proper divisors (37134561217).

115306007135 is a wasteful number, since it uses less digits than its factorization.

115306007135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20757274.

The product of its (nonzero) digits is 9450, while the sum is 32.

The spelling of 115306007135 in words is "one hundred fifteen billion, three hundred six million, seven thousand, one hundred thirty-five".