165312000 has 480 divisors, whose sum is σ = 697080384. Its totient is φ = 36864000.

The previous prime is 165311999. The next prime is 165312011. The reversal of 165312000 is 213561.

165312000 is a `hidden beast` number, since 1 + 653 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031980 + ... + 4032020.

Almost surely, 2^165312000 is an apocalyptic number.

165312000 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 165312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348540192).

165312000 is an abundant number, since it is smaller than the sum of its proper divisors (531768384).

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

165312000 is an equidigital number, since it uses as much as digits as its factorization.

165312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 165312000 is about 12857.3714265397. The cubic root of 165312000 is about 548.8261465895.

Adding to 165312000 its reverse (213561), we get a palindrome (165525561).

The spelling of 165312000 in words is "one hundred sixty-five million, three hundred twelve thousand".