164149080 has 64 divisors (see below), whose sum is σ = 495763200. Its totient is φ = 43478400.

The previous prime is 164149067. The next prime is 164149121. The reversal of 164149080 is 80941461.

164149080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13591 + ... + 22649.

It is an arithmetic number, because the mean of its divisors is an integer number (7746300).

Almost surely, 2^164149080 is an apocalyptic number.

164149080 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 164149080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247881600).

164149080 is an abundant number, since it is smaller than the sum of its proper divisors (331614120).

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

164149080 is a wasteful number, since it uses less digits than its factorization.

164149080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 164149080 is about 12812.0677488062. The cubic root of 164149080 is about 547.5361749205.

It can be divided in two parts, 1641 and 49080, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 164149080 in words is "one hundred sixty-four million, one hundred forty-nine thousand, eighty".