152135990597567 has 32 divisors (see below), whose sum is σ = 158091176183808. Its totient is φ = 146299452480000.

The previous prime is 152135990597561. The next prime is 152135990597609. The reversal of 152135990597567 is 765795099531251.

It is not a de Polignac number, because 152135990597567 - 2¹⁰ = 152135990596543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152135990597494 and 152135990597503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152135990597561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11344113092 + ... + 11344126502.

It is an arithmetic number, because the mean of its divisors is an integer number (4940349255744).

Almost surely, 2^{152135990597567} is an apocalyptic number.

152135990597567 is a deficient number, since it is larger than the sum of its proper divisors (5955185586241).

152135990597567 is a wasteful number, since it uses less digits than its factorization.

152135990597567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17511.

The product of its (nonzero) digits is 803722500, while the sum is 74.

The spelling of 152135990597567 in words is "one hundred fifty-two trillion, one hundred thirty-five billion, nine hundred ninety million, five hundred ninety-seven thousand, five hundred sixty-seven".