164075153 has 12 divisors (see below), whose sum is σ = 184751364. Its totient is φ = 145516800.

The previous prime is 164075141. The next prime is 164075201. The reversal of 164075153 is 351570461.

164075153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36204289 + 127870864 = 6017^2 + 11308^2 .

It is not a de Polignac number, because 164075153 - 2¹⁶ = 164009617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164075753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11576 + ... + 21497.

It is an arithmetic number, because the mean of its divisors is an integer number (15395947).

Almost surely, 2^164075153 is an apocalyptic number.

It is an amenable number.

164075153 is a deficient number, since it is larger than the sum of its proper divisors (20676211).

164075153 is a wasteful number, since it uses less digits than its factorization.

164075153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33136 (or 33125 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 164075153 is about 12809.1823704716. The cubic root of 164075153 is about 547.4539655352.

The spelling of 164075153 in words is "one hundred sixty-four million, seventy-five thousand, one hundred fifty-three".