162143128900 has 81 divisors (see below), whose sum is σ = 357775770807. Its totient is φ = 63782928000.

The previous prime is 162143128879. The next prime is 162143128943. The reversal of 162143128900 is 9821341261.

The square root of 162143128900 is 402670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8623351044 + 153519777856 = 92862^2 + 391816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 162143128900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 269788600 + ... + 269789200.

Almost surely, 2^162143128900 is an apocalyptic number.

162143128900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162143128900 is the 402670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162143128900

162143128900 is an abundant number, since it is smaller than the sum of its proper divisors (195632641907).

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

162143128900 is an frugal number, since it uses more digits than its factorization.

162143128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 162143128900 in words is "one hundred sixty-two billion, one hundred forty-three million, one hundred twenty-eight thousand, nine hundred".