152167566552165 has 48 divisors (see below), whose sum is σ = 266269967037360. Its totient is φ = 80383815106560.

The previous prime is 152167566552163. The next prime is 152167566552173. The reversal of 152167566552165 is 561255665761251.

It is a happy number.

152167566552165 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 6 + 7 + 5 + 66 + 552 + 16 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20140986112641 + 132026580439524 = 4487871^2 + 11490282^2 .

It is not a de Polignac number, because 152167566552165 - 2¹ = 152167566552163 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152167566552163) 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 47 ways as a sum of consecutive naturals, for example, 2477056 + ... + 17620185.

It is an arithmetic number, because the mean of its divisors is an integer number (5547290979945).

Almost surely, 2^{152167566552165} is an apocalyptic number.

152167566552165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152167566552165 is a deficient number, since it is larger than the sum of its proper divisors (114102400485195).

152167566552165 is a wasteful number, since it uses less digits than its factorization.

152167566552165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20098854 (or 20098851 counting only the distinct ones).

The product of its digits is 113400000, while the sum is 63.

The spelling of 152167566552165 in words is "one hundred fifty-two trillion, one hundred sixty-seven billion, five hundred sixty-six million, five hundred fifty-two thousand, one hundred sixty-five".