165152000 has 144 divisors (see below), whose sum is σ = 444177552. Its totient is φ = 60825600.

The previous prime is 165151999. The next prime is 165152011. The reversal of 165152000 is 251561.

It can be written as a sum of positive squares in 8 ways, for example, as 70829056 + 94322944 = 8416^2 + 9712^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 415802 + ... + 416198.

Almost surely, 2^165152000 is an apocalyptic number.

165152000 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 165152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222088776).

165152000 is an abundant number, since it is smaller than the sum of its proper divisors (279025552).

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

165152000 is an equidigital number, since it uses as much as digits as its factorization.

165152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 165152000 is about 12851.1478086590. The cubic root of 165152000 is about 548.6490258948.

The spelling of 165152000 in words is "one hundred sixty-five million, one hundred fifty-two thousand".