164127213520 has 20 divisors (see below), whose sum is σ = 381595771620. Its totient is φ = 65650885376.

The previous prime is 164127213493. The next prime is 164127213559. The reversal of 164127213520 is 25312721461.

It can be written as a sum of positive squares in 2 ways, for example, as 18893052304 + 145234161216 = 137452^2 + 381096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1025795005 + ... + 1025795164.

It is an arithmetic number, because the mean of its divisors is an integer number (19079788581).

Almost surely, 2^164127213520 is an apocalyptic number.

164127213520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164127213520 is an abundant number, since it is smaller than the sum of its proper divisors (217468558100).

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

164127213520 is a wasteful number, since it uses less digits than its factorization.

164127213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051590182 (or 2051590176 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 164127213520 its reverse (25312721461), we get a palindrome (189439934981).

The spelling of 164127213520 in words is "one hundred sixty-four billion, one hundred twenty-seven million, two hundred thirteen thousand, five hundred twenty".