170132181120 has 384 divisors, whose sum is σ = 678599700480. Its totient is φ = 38817792000.

The previous prime is 170132181101. The next prime is 170132181133. The reversal of 170132181120 is 21181231071.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998145 + ... + 1156095.

It is an arithmetic number, because the mean of its divisors is an integer number (1767186720).

Almost surely, 2^170132181120 is an apocalyptic number.

170132181120 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 170132181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339299850240).

170132181120 is an abundant number, since it is smaller than the sum of its proper divisors (508467519360).

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

170132181120 is a wasteful number, since it uses less digits than its factorization.

170132181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158004 (or 157989 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 170132181120 in words is "one hundred seventy billion, one hundred thirty-two million, one hundred eighty-one thousand, one hundred twenty".