164539540 has 48 divisors (see below), whose sum is σ = 378201600. Its totient is φ = 59633280.

The previous prime is 164539517. The next prime is 164539553. The reversal of 164539540 is 45935461.

164539540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164539540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75709 + ... + 77851.

It is an arithmetic number, because the mean of its divisors is an integer number (7879200).

Almost surely, 2^164539540 is an apocalyptic number.

164539540 is a gapful number since it is divisible by the number (10) 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 164539540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189100800).

164539540 is an abundant number, since it is smaller than the sum of its proper divisors (213662060).

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

164539540 is a wasteful number, since it uses less digits than its factorization.

164539540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 164539540 is about 12827.2966754496. The cubic root of 164539540 is about 547.9699710045.

The spelling of 164539540 in words is "one hundred sixty-four million, five hundred thirty-nine thousand, five hundred forty".