165234313922500 has 135 divisors (see below), whose sum is σ = 362925352428177. Its totient is φ = 65803988520000.

The previous prime is 165234313922477. The next prime is 165234313922533. The reversal of 165234313922500 is 5229313432561.

The square root of 165234313922500 is 12854350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 164900886207876 + 333427714624 = 12841374^2 + 577432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203741447095 + ... + 203741447905.

Almost surely, 2^{165234313922500} is an apocalyptic number.

165234313922500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165234313922500 is the 12854350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165234313922500

165234313922500 is an abundant number, since it is smaller than the sum of its proper divisors (197691038505677).

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

165234313922500 is an frugal number, since it uses more digits than its factorization.

165234313922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 165234313922500 in words is "one hundred sixty-five trillion, two hundred thirty-four billion, three hundred thirteen million, nine hundred twenty-two thousand, five hundred".