171357120 has 280 divisors, whose sum is σ = 666067248. Its totient is φ = 41472000.

The previous prime is 171357091. The next prime is 171357169. The reversal of 171357120 is 21753171.

It is a happy number.

171357120 is a `hidden beast` number, since 1 + 71 + 3 + 571 + 20 = 666.

171357120 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284820 + ... + 285420.

Almost surely, 2^171357120 is an apocalyptic number.

171357120 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 171357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333033624).

171357120 is an abundant number, since it is smaller than the sum of its proper divisors (494710128).

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

171357120 is a wasteful number, since it uses less digits than its factorization.

171357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 171357120 is about 13090.3445332810. The cubic root of 171357120 is about 555.4360342586.

The spelling of 171357120 in words is "one hundred seventy-one million, three hundred fifty-seven thousand, one hundred twenty".