165135040 has 56 divisors (see below), whose sum is σ = 449409312. Its totient is φ = 56616960.

The previous prime is 165135037. The next prime is 165135067. The reversal of 165135040 is 40531561.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 165134996 and 165135014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34621 + ... + 39100.

Almost surely, 2^165135040 is an apocalyptic number.

165135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165135040 is an abundant number, since it is smaller than the sum of its proper divisors (284274272).

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

165135040 is an equidigital number, since it uses as much as digits as its factorization.

165135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73745 (or 73735 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 165135040 is about 12850.4879284796. The cubic root of 165135040 is about 548.6302443965.

The spelling of 165135040 in words is "one hundred sixty-five million, one hundred thirty-five thousand, forty".