164273544 has 144 divisors (see below), whose sum is σ = 491727600. Its totient is φ = 49401792.

The previous prime is 164273539. The next prime is 164273587. The reversal of 164273544 is 445372461.

164273544 is a `hidden beast` number, since 1 + 6 + 42 + 73 + 544 = 666.

164273544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164273499 and 164273508.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 723559 + ... + 723785.

It is an arithmetic number, because the mean of its divisors is an integer number (3414775).

Almost surely, 2^164273544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164273544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245863800).

164273544 is an abundant number, since it is smaller than the sum of its proper divisors (327454056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164273544 is a wasteful number, since it uses less digits than its factorization.

164273544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 274 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 164273544 is about 12816.9241239854. The cubic root of 164273544 is about 547.6745274585.

The spelling of 164273544 in words is "one hundred sixty-four million, two hundred seventy-three thousand, five hundred forty-four".