164189256 has 192 divisors, whose sum is σ = 530893440. Its totient is φ = 41395200.

The previous prime is 164189231. The next prime is 164189269. The reversal of 164189256 is 652981461.

It is a super-2 number, since 2×164189256² = 53916223571667072, which contains 22 as substring.

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 Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 833350 + ... + 833546.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 2^164189256 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 164189256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

164189256 is an abundant number, since it is smaller than the sum of its proper divisors (366704184).

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

164189256 is a wasteful number, since it uses less digits than its factorization.

164189256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 164189256 is about 12813.6355496791. The cubic root of 164189256 is about 547.5808416729.

It can be divided in two parts, 164 and 189256, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 164189256 in words is "one hundred sixty-four million, one hundred eighty-nine thousand, two hundred fifty-six".