171125760 has 176 divisors, whose sum is σ = 590125536. Its totient is φ = 42074112.

The previous prime is 171125753. The next prime is 171125789. The reversal of 171125760 is 67521171.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199252 + ... + 200108.

It is an arithmetic number, because the mean of its divisors is an integer number (3352986).

Almost surely, 2^171125760 is an apocalyptic number.

171125760 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 171125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295062768).

171125760 is an abundant number, since it is smaller than the sum of its proper divisors (418999776).

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

171125760 is a wasteful number, since it uses less digits than its factorization.

171125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 171125760 is about 13081.5045006299. The cubic root of 171125760 is about 555.1859453238.

The spelling of 171125760 in words is "one hundred seventy-one million, one hundred twenty-five thousand, seven hundred sixty".