165542400 has 240 divisors, whose sum is σ = 608889600. Its totient is φ = 44052480.

The previous prime is 165542381. The next prime is 165542407. The reversal of 165542400 is 4245561.

165542400 is a `hidden beast` number, since 1 + 655 + 4 + 2 + 4 + 0 + 0 = 666.

165542400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (165542407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345361 + ... + 345839.

It is an arithmetic number, because the mean of its divisors is an integer number (2537040).

Almost surely, 2^165542400 is an apocalyptic number.

165542400 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 165542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304444800).

165542400 is an abundant number, since it is smaller than the sum of its proper divisors (443347200).

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

165542400 is an equidigital number, since it uses as much as digits as its factorization.

165542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 165542400 is about 12866.3281475330. The cubic root of 165542400 is about 549.0809997241.

Adding to 165542400 its reverse (4245561), we get a palindrome (169787961).

The spelling of 165542400 in words is "one hundred sixty-five million, five hundred forty-two thousand, four hundred".