158513147593767 has 48 divisors (see below), whose sum is σ = 230416862058240. Its totient is φ = 105006818641536.

The previous prime is 158513147593733. The next prime is 158513147593783. The reversal of 158513147593767 is 767395741315851.

It is a happy number.

158513147593767 is a `hidden beast` number, since 1 + 5 + 8 + 5 + 1 + 3 + 1 + 475 + 93 + 7 + 67 = 666.

It is not a de Polignac number, because 158513147593767 - 2⁷ = 158513147593639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 158513147593695 and 158513147593704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158513147593067) 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, 3317608284 + ... + 3317656062.

It is an arithmetic number, because the mean of its divisors is an integer number (4800351292880).

Almost surely, 2^{158513147593767} is an apocalyptic number.

158513147593767 is a deficient number, since it is larger than the sum of its proper divisors (71903714464473).

158513147593767 is a wasteful number, since it uses less digits than its factorization.

158513147593767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51572 (or 51569 counting only the distinct ones).

The product of its digits is 666792000, while the sum is 72.

The spelling of 158513147593767 in words is "one hundred fifty-eight trillion, five hundred thirteen billion, one hundred forty-seven million, five hundred ninety-three thousand, seven hundred sixty-seven".