164688742153 has 16 divisors (see below), whose sum is σ = 177750079360. Its totient is φ = 151683871104.

The previous prime is 164688742133. The next prime is 164688742157. The reversal of 164688742153 is 351247886461.

It is a cyclic number.

It is not a de Polignac number, because 164688742153 - 2⁹ = 164688741641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164688742094 and 164688742103.

It is not an unprimeable number, because it can be changed into a prime (164688742157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14647708 + ... + 14658946.

It is an arithmetic number, because the mean of its divisors is an integer number (11109379960).

Almost surely, 2^164688742153 is an apocalyptic number.

164688742153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164688742153 is a deficient number, since it is larger than the sum of its proper divisors (13061337207).

164688742153 is a wasteful number, since it uses less digits than its factorization.

164688742153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13648.

The product of its digits is 7741440, while the sum is 55.

The spelling of 164688742153 in words is "one hundred sixty-four billion, six hundred eighty-eight million, seven hundred forty-two thousand, one hundred fifty-three".