165353520 has 160 divisors (see below), whose sum is σ = 532251648. Its totient is φ = 42440704.

The previous prime is 165353491. The next prime is 165353537. The reversal of 165353520 is 25353561.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1206892 + ... + 1207028.

Almost surely, 2^165353520 is an apocalyptic number.

165353520 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 165353520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266125824).

165353520 is an abundant number, since it is smaller than the sum of its proper divisors (366898128).

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

165353520 is a wasteful number, since it uses less digits than its factorization.

165353520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 165353520 is about 12858.9859631310. The cubic root of 165353520 is about 548.8720907317.

The spelling of 165353520 in words is "one hundred sixty-five million, three hundred fifty-three thousand, five hundred twenty".