165152736 has 288 divisors, whose sum is σ = 579156480. Its totient is φ = 45626112.

The previous prime is 165152707. The next prime is 165152749. The reversal of 165152736 is 637251561.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 165152736.

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, 1989751 + ... + 1989833.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^165152736 is an apocalyptic number.

165152736 is a gapful number since it is divisible by the number (16) 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 165152736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

165152736 is an abundant number, since it is smaller than the sum of its proper divisors (414003744).

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

165152736 is a wasteful number, since it uses less digits than its factorization.

165152736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 165152736 is about 12851.1764442015. The cubic root of 165152736 is about 548.6498409118.

The spelling of 165152736 in words is "one hundred sixty-five million, one hundred fifty-two thousand, seven hundred thirty-six".