173268144 has 240 divisors, whose sum is σ = 595795200. Its totient is φ = 45909504.

The previous prime is 173268059. The next prime is 173268149. The reversal of 173268144 is 441862371.

173268144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 173268099 and 173268108.

It is not an unprimeable number, because it can be changed into a prime (173268149) 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, 1589562 + ... + 1589670.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2^173268144 is an apocalyptic number.

173268144 is a gapful number since it is divisible by the number (14) 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 173268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297897600).

173268144 is an abundant number, since it is smaller than the sum of its proper divisors (422527056).

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

173268144 is a wasteful number, since it uses less digits than its factorization.

173268144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 173268144 is about 13163.1357966102. The cubic root of 173268144 is about 557.4931999948.

The spelling of 173268144 in words is "one hundred seventy-three million, two hundred sixty-eight thousand, one hundred forty-four".