165940128 has 72 divisors (see below), whose sum is σ = 499665348. Its totient is φ = 52058112.

The previous prime is 165940121. The next prime is 165940133. The reversal of 165940128 is 821049561.

It can be written as a sum of positive squares in 2 ways, for example, as 153066384 + 12873744 = 12372^2 + 3588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×165940128² = 55072252161312768, which contains 22 as substring.

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 = 165940092 and 165940101.

It is not an unprimeable number, because it can be changed into a prime (165940121) 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 11 ways as a sum of consecutive naturals, for example, 12051 + ... + 21842.

Almost surely, 2^165940128 is an apocalyptic number.

165940128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

165940128 is an abundant number, since it is smaller than the sum of its proper divisors (333725220).

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

165940128 is a wasteful number, since it uses less digits than its factorization.

165940128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33926 (or 33915 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 165940128 is about 12881.7750329681. The cubic root of 165940128 is about 549.5203840865.

Adding to 165940128 its reverse (821049561), we get a palindrome (986989689).

The spelling of 165940128 in words is "one hundred sixty-five million, nine hundred forty thousand, one hundred twenty-eight".