164149128528 has 240 divisors, whose sum is σ = 533555516928. Its totient is φ = 42567148800.

The previous prime is 164149128509. The next prime is 164149128553. The reversal of 164149128528 is 825821941461.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28090375 + ... + 28096217.

Almost surely, 2^164149128528 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 164149128528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266777758464).

164149128528 is an abundant number, since it is smaller than the sum of its proper divisors (369406388400).

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

164149128528 is a wasteful number, since it uses less digits than its factorization.

164149128528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574 (or 6557 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The spelling of 164149128528 in words is "one hundred sixty-four billion, one hundred forty-nine million, one hundred twenty-eight thousand, five hundred twenty-eight".