165162528 has 36 divisors (see below), whose sum is σ = 469681758. Its totient is φ = 55054080.

The previous prime is 165162523. The next prime is 165162541. The reversal of 165162528 is 825261561.

165162528 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 625 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146603664 + 18558864 = 12108^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 165162492 and 165162501.

It is not an unprimeable number, because it can be changed into a prime (165162523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286453 + ... + 287028.

Almost surely, 2^165162528 is an apocalyptic number.

165162528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

165162528 is an abundant number, since it is smaller than the sum of its proper divisors (304519230).

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

165162528 is a wasteful number, since it uses less digits than its factorization.

165162528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573497 (or 573486 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 165162528 is about 12851.5574153485. The cubic root of 165162528 is about 548.6606839516.

It can be divided in two parts, 1651625 and 28, that added together give a triangular number (1651653 = T₁₈₁₇).

The spelling of 165162528 in words is "one hundred sixty-five million, one hundred sixty-two thousand, five hundred twenty-eight".