165271320 has 128 divisors (see below), whose sum is σ = 555422400. Its totient is φ = 43711488.

The previous prime is 165271313. The next prime is 165271333. The reversal of 165271320 is 23172561.

It is a happy number.

165271320 is a `hidden beast` number, since 1 + 6 + 527 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 147402 + ... + 148518.

Almost surely, 2^165271320 is an apocalyptic number.

165271320 is a gapful number since it is divisible by the number (10) 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 165271320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277711200).

165271320 is an abundant number, since it is smaller than the sum of its proper divisors (390151080).

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

165271320 is a wasteful number, since it uses less digits than its factorization.

165271320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 165271320 is about 12855.7893573285. The cubic root of 165271320 is about 548.7811244914.

The spelling of 165271320 in words is "one hundred sixty-five million, two hundred seventy-one thousand, three hundred twenty".