164145744 has 320 divisors, whose sum is σ = 594247680. Its totient is φ = 42301440.

The previous prime is 164145703. The next prime is 164145763. The reversal of 164145744 is 447541461.

It is a happy number.

164145744 is a `hidden beast` number, since 1 + 641 + 4 + 5 + 7 + 4 + 4 = 666.

164145744 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 = 164145699 and 164145708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593597 + ... + 1593699.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^164145744 is an apocalyptic number.

164145744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164145744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

164145744 is an abundant number, since it is smaller than the sum of its proper divisors (430101936).

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

164145744 is a wasteful number, since it uses less digits than its factorization.

164145744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 164145744 is about 12811.9375583867. The cubic root of 164145744 is about 547.5324657048.

It can be divided in two parts, 16 and 4145744, that added together give a triangular number (4145760 = T₂₈₇₉).

The spelling of 164145744 in words is "one hundred sixty-four million, one hundred forty-five thousand, seven hundred forty-four".