164656128 has 352 divisors, whose sum is σ = 586915840. Its totient is φ = 39813120.

The previous prime is 164656117. The next prime is 164656133. The reversal of 164656128 is 821656461.

It is a happy number.

It is a super-2 number, since 2×164656128² = 54223280975904768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311473 + ... + 5311503.

Almost surely, 2^164656128 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 164656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293457920).

164656128 is an abundant number, since it is smaller than the sum of its proper divisors (422259712).

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

164656128 is a wasteful number, since it uses less digits than its factorization.

164656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 164656128 is about 12831.8403980099. The cubic root of 164656128 is about 548.0993657171.

The spelling of 164656128 in words is "one hundred sixty-four million, six hundred fifty-six thousand, one hundred twenty-eight".