165020352 has 112 divisors (see below), whose sum is σ = 502310400. Its totient is φ = 46835712.

The previous prime is 165020327. The next prime is 165020363. The reversal of 165020352 is 253020561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267148 + ... + 267764.

Almost surely, 2^165020352 is an apocalyptic number.

165020352 is a gapful number since it is divisible by the number (12) 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 165020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251155200).

165020352 is an abundant number, since it is smaller than the sum of its proper divisors (337290048).

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

165020352 is a wasteful number, since it uses less digits than its factorization.

165020352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 165020352 is about 12846.0247547636. The cubic root of 165020352 is about 548.5032051814.

The spelling of 165020352 in words is "one hundred sixty-five million, twenty thousand, three hundred fifty-two".