135007555815 has 128 divisors (see below), whose sum is σ = 268690867200. Its totient is φ = 63749376000.

The previous prime is 135007555801. The next prime is 135007555819. The reversal of 135007555815 is 518555700531.

135007555815 is a `hidden beast` number, since 13 + 5 + 0 + 0 + 7 + 55 + 581 + 5 = 666.

It is not a de Polignac number, because 135007555815 - 2¹⁰ = 135007554791 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135007555819) 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 127 ways as a sum of consecutive naturals, for example, 42069931 + ... + 42073139.

It is an arithmetic number, because the mean of its divisors is an integer number (2099147400).

Almost surely, 2^135007555815 is an apocalyptic number.

135007555815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135007555815 is a deficient number, since it is larger than the sum of its proper divisors (133683311385).

135007555815 is a wasteful number, since it uses less digits than its factorization.

135007555815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 525000, while the sum is 45.

The spelling of 135007555815 in words is "one hundred thirty-five billion, seven million, five hundred fifty-five thousand, eight hundred fifteen".