165145824 has 48 divisors (see below), whose sum is σ = 481677840. Its totient is φ = 55048320.

The previous prime is 165145823. The next prime is 165145829. The reversal of 165145824 is 428541561.

It is a happy number.

165145824 is a `hidden beast` number, since 1 + 65 + 14 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165145823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94707 + ... + 96434.

It is an arithmetic number, because the mean of its divisors is an integer number (10034955).

Almost surely, 2^165145824 is an apocalyptic number.

It is an amenable number.

165145824 is an abundant number, since it is smaller than the sum of its proper divisors (316532016).

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

165145824 is a wasteful number, since it uses less digits than its factorization.

165145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191160 (or 191146 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 165145824 is about 12850.9075165920. The cubic root of 165145824 is about 548.6421867433.

The spelling of 165145824 in words is "one hundred sixty-five million, one hundred forty-five thousand, eight hundred twenty-four".