164130656 has 48 divisors (see below), whose sum is σ = 334203408. Its totient is φ = 79296000.

The previous prime is 164130611. The next prime is 164130671. The reversal of 164130656 is 656031461.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138386 + ... + 139566.

It is an arithmetic number, because the mean of its divisors is an integer number (6962571).

Almost surely, 2^164130656 is an apocalyptic number.

164130656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167101704).

164130656 is an abundant number, since it is smaller than the sum of its proper divisors (170072752).

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

164130656 is a wasteful number, since it uses less digits than its factorization.

164130656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 164130656 is about 12811.3487190069. The cubic root of 164130656 is about 547.5156891037.

The spelling of 164130656 in words is "one hundred sixty-four million, one hundred thirty thousand, six hundred fifty-six".