165253920 has 192 divisors, whose sum is σ = 570011904. Its totient is φ = 39997440.

The previous prime is 165253909. The next prime is 165253931. The reversal of 165253920 is 29352561.

It is an interprime number because it is at equal distance from previous prime (165253909) and next prime (165253931).

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, 442854 + ... + 443226.

It is an arithmetic number, because the mean of its divisors is an integer number (2968812).

Almost surely, 2^165253920 is an apocalyptic number.

165253920 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 165253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285005952).

165253920 is an abundant number, since it is smaller than the sum of its proper divisors (404757984).

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

165253920 is a wasteful number, since it uses less digits than its factorization.

165253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 165253920 is about 12855.1126016072. The cubic root of 165253920 is about 548.7618649960.

The spelling of 165253920 in words is "one hundred sixty-five million, two hundred fifty-three thousand, nine hundred twenty".