163125600 has 288 divisors, whose sum is σ = 598461696. Its totient is φ = 38246400.

The previous prime is 163125569. The next prime is 163125601. The reversal of 163125600 is 6521361.

It is a super-2 number, since 2×163125600² = 53219922750720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163125601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976717 + ... + 976883.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2^163125600 is an apocalyptic number.

163125600 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 163125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

163125600 is an abundant number, since it is smaller than the sum of its proper divisors (435336096).

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

163125600 is a wasteful number, since it uses less digits than its factorization.

163125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 163125600 is about 12772.0632632320. The cubic root of 163125600 is about 546.3958272367.

Adding to 163125600 its reverse (6521361), we get a palindrome (169646961).

It can be divided in two parts, 16312 and 5600, that added together give a palindrome (21912).

The spelling of 163125600 in words is "one hundred sixty-three million, one hundred twenty-five thousand, six hundred".