164125792 has 48 divisors (see below), whose sum is σ = 339383520. Its totient is φ = 77980672.

The previous prime is 164125771. The next prime is 164125817. The reversal of 164125792 is 297521461.

It is a super-3 number, since 3×164125792³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126684 + ... + 127972.

It is an arithmetic number, because the mean of its divisors is an integer number (7070490).

Almost surely, 2^164125792 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 164125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169691760).

164125792 is an abundant number, since it is smaller than the sum of its proper divisors (175257728).

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

164125792 is a wasteful number, since it uses less digits than its factorization.

164125792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 164125792 is about 12811.1588859088. The cubic root of 164125792 is about 547.5102805212.

The spelling of 164125792 in words is "one hundred sixty-four million, one hundred twenty-five thousand, seven hundred ninety-two".