165136320 has 280 divisors, whose sum is σ = 615171744. Its totient is φ = 41969664.

The previous prime is 165136319. The next prime is 165136327. The reversal of 165136320 is 23631561.

165136320 is a `hidden beast` number, since 1 + 651 + 3 + 6 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165136327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596022 + ... + 596298.

Almost surely, 2^165136320 is an apocalyptic number.

165136320 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 165136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307585872).

165136320 is an abundant number, since it is smaller than the sum of its proper divisors (450035424).

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

165136320 is a wasteful number, since it uses less digits than its factorization.

165136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 165136320 is about 12850.5377319395. The cubic root of 165136320 is about 548.6316619129.

Adding to 165136320 its reverse (23631561), we get a palindrome (188767881).

The spelling of 165136320 in words is "one hundred sixty-five million, one hundred thirty-six thousand, three hundred twenty".