165133404 has 120 divisors (see below), whose sum is σ = 457623936. Its totient is φ = 51840000.

The previous prime is 165133379. The next prime is 165133417. The reversal of 165133404 is 404331561.

165133404 is a `hidden beast` number, since 1 + 651 + 3 + 3 + 4 + 0 + 4 = 666.

It is a super-2 number, since 2×165133404² = 54538082233254432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411604 + ... + 412004.

Almost surely, 2^165133404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165133404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228811968).

165133404 is an abundant number, since it is smaller than the sum of its proper divisors (292490532).

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

165133404 is a wasteful number, since it uses less digits than its factorization.

165133404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 165133404 is about 12850.4242731515. The cubic root of 165133404 is about 548.6284326226.

Adding to 165133404 its reverse (404331561), we get a palindrome (569464965).

The spelling of 165133404 in words is "one hundred sixty-five million, one hundred thirty-three thousand, four hundred four".