165140400 has 120 divisors (see below), whose sum is σ = 556918720. Its totient is φ = 41713920.

The previous prime is 165140399. The next prime is 165140407. The reversal of 165140400 is 4041561.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (165140407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19179 + ... + 26421.

Almost surely, 2^165140400 is an apocalyptic number.

165140400 is a gapful number since it is divisible by the number (10) 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 165140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278459360).

165140400 is an abundant number, since it is smaller than the sum of its proper divisors (391778320).

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

165140400 is a wasteful number, since it uses less digits than its factorization.

165140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 165140400 is about 12850.6964791796. The cubic root of 165140400 is about 548.6361801976.

Adding to 165140400 its reverse (4041561), we get a palindrome (169181961).

The spelling of 165140400 in words is "one hundred sixty-five million, one hundred forty thousand, four hundred".