168150 has 48 divisors (see below), whose sum is σ = 446400. Its totient is φ = 41760.

The previous prime is 168143. The next prime is 168151. The reversal of 168150 is 51861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168151) by changing a digit.

168150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821 + ... + 2879.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

168150 is a Friedman number, since it can be written as 10*(8+(6+1)^5), using all its digits and the basic arithmetic operations.

2¹⁶⁸¹⁵⁰ is an apocalyptic number.

168150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

168150 is an abundant number, since it is smaller than the sum of its proper divisors (278250).

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

168150 is a wasteful number, since it uses less digits than its factorization.

168150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 168150 is about 410.0609710763. The cubic root of 168150 is about 55.1949008102.

Subtracting from 168150 its product of nonzero digits (240), we obtain a triangular number (167910 = T₅₇₉).

It can be divided in two parts, 168 and 150, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 168150 in words is "one hundred sixty-eight thousand, one hundred fifty".