164749128 has 64 divisors (see below), whose sum is σ = 430694400. Its totient is φ = 52453440.

The previous prime is 164749127. The next prime is 164749129. The reversal of 164749128 is 821947461.

It is an interprime number because it is at equal distance from previous prime (164749127) and next prime (164749129).

It is a Smith number, since the sum of its digits (42) 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 164749128.

It is not an unprimeable number, because it can be changed into a prime (164749127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57375 + ... + 60177.

It is an arithmetic number, because the mean of its divisors is an integer number (6729600).

Almost surely, 2^164749128 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 164749128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215347200).

164749128 is an abundant number, since it is smaller than the sum of its proper divisors (265945272).

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

164749128 is a wasteful number, since it uses less digits than its factorization.

164749128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2918 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 164749128 is about 12835.4636846512. The cubic root of 164749128 is about 548.2025375979.

The spelling of 164749128 in words is "one hundred sixty-four million, seven hundred forty-nine thousand, one hundred twenty-eight".