164146512 has 80 divisors (see below), whose sum is σ = 436632768. Its totient is φ = 53114880.

The previous prime is 164146487. The next prime is 164146517. The reversal of 164146512 is 215641461.

It is a super-2 number, since 2×164146512² = 53888154803532288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164146512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164146517) 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, 287187 + ... + 287757.

Almost surely, 2^164146512 is an apocalyptic number.

164146512 is a gapful number since it is divisible by the number (12) 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 164146512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

164146512 is an abundant number, since it is smaller than the sum of its proper divisors (272486256).

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

164146512 is a wasteful number, since it uses less digits than its factorization.

164146512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 164146512 is about 12811.9675303991. The cubic root of 164146512 is about 547.5333196294.

Adding to 164146512 its reverse (215641461), we get a palindrome (379787973).

The spelling of 164146512 in words is "one hundred sixty-four million, one hundred forty-six thousand, five hundred twelve".