164135521 has 16 divisors (see below), whose sum is σ = 187724160. Its totient is φ = 142053120.

The previous prime is 164135507. The next prime is 164135549. The reversal of 164135521 is 125531461.

It is not a de Polignac number, because 164135521 - 2⁷ = 164135393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164135521.

It is not an unprimeable number, because it can be changed into a prime (164135501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56521 + ... + 59353.

It is an arithmetic number, because the mean of its divisors is an integer number (11732760).

Almost surely, 2^164135521 is an apocalyptic number.

164135521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164135521 is a deficient number, since it is larger than the sum of its proper divisors (23588639).

164135521 is a wasteful number, since it uses less digits than its factorization.

164135521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096.

The product of its digits is 3600, while the sum is 28.

The square root of 164135521 is about 12811.5385883195. The cubic root of 164135521 is about 547.5210986914.

Adding to 164135521 its reverse (125531461), we get a palindrome (289666982).

The spelling of 164135521 in words is "one hundred sixty-four million, one hundred thirty-five thousand, five hundred twenty-one".