171438120 has 160 divisors (see below), whose sum is σ = 658627200. Its totient is φ = 39180672.

The previous prime is 171438103. The next prime is 171438161. The reversal of 171438120 is 21834171.

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

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, 18901 + ... + 26459.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^171438120 is an apocalyptic number.

171438120 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 171438120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329313600).

171438120 is an abundant number, since it is smaller than the sum of its proper divisors (487189080).

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

171438120 is a wasteful number, since it uses less digits than its factorization.

171438120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 171438120 is about 13093.4380511766. The cubic root of 171438120 is about 555.5235381252.

The spelling of 171438120 in words is "one hundred seventy-one million, four hundred thirty-eight thousand, one hundred twenty".