164137844 has 24 divisors (see below), whose sum is σ = 322788480. Its totient is φ = 72461664.

The previous prime is 164137843. The next prime is 164137849. The reversal of 164137844 is 448731461.

It is a happy number.

164137844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 164137798 and 164137807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164137843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67424 + ... + 69815.

It is an arithmetic number, because the mean of its divisors is an integer number (13449520).

Almost surely, 2^164137844 is an apocalyptic number.

It is an amenable number.

164137844 is a deficient number, since it is larger than the sum of its proper divisors (158650636).

164137844 is a wasteful number, since it uses less digits than its factorization.

164137844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137279 (or 137277 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 164137844 is about 12811.6292484602. The cubic root of 164137844 is about 547.5236816901.

The spelling of 164137844 in words is "one hundred sixty-four million, one hundred thirty-seven thousand, eight hundred forty-four".