164910144 has 56 divisors (see below), whose sum is σ = 498660928. Its totient is φ = 47116800.

The previous prime is 164910121. The next prime is 164910157. The reversal of 164910144 is 441019461.

164910144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60007 + ... + 62694.

Almost surely, 2^164910144 is an apocalyptic number.

164910144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164910144 is an abundant number, since it is smaller than the sum of its proper divisors (333750784).

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

164910144 is a wasteful number, since it uses less digits than its factorization.

164910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122723 (or 122713 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 164910144 is about 12841.7344622913. The cubic root of 164910144 is about 548.3810729667.

The spelling of 164910144 in words is "one hundred sixty-four million, nine hundred ten thousand, one hundred forty-four".