164144192 has 56 divisors (see below), whose sum is σ = 357835200. Its totient is φ = 74359296.

The previous prime is 164144161. The next prime is 164144209. The reversal of 164144192 is 291441461.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 25034 + ... + 30902.

Almost surely, 2^164144192 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 164144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178917600).

164144192 is an abundant number, since it is smaller than the sum of its proper divisors (193691008).

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

164144192 is a wasteful number, since it uses less digits than its factorization.

164144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5913 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 164144192 is about 12811.8769897311. The cubic root of 164144192 is about 547.5307400573.

The spelling of 164144192 in words is "one hundred sixty-four million, one hundred forty-four thousand, one hundred ninety-two".