165793152 has 128 divisors (see below), whose sum is σ = 517213440. Its totient is φ = 46061568.

The previous prime is 165793151. The next prime is 165793211. The reversal of 165793152 is 251397561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 165793152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165793151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98623 + ... + 100289.

It is an arithmetic number, because the mean of its divisors is an integer number (4040730).

Almost surely, 2^165793152 is an apocalyptic number.

165793152 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 165793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258606720).

165793152 is an abundant number, since it is smaller than the sum of its proper divisors (351420288).

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

165793152 is a wasteful number, since it uses less digits than its factorization.

165793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1716 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 165793152 is about 12876.0689653325. The cubic root of 165793152 is about 549.3580963062.

The spelling of 165793152 in words is "one hundred sixty-five million, seven hundred ninety-three thousand, one hundred fifty-two".