167152 has 20 divisors (see below), whose sum is σ = 335296. Its totient is φ = 80640.

The previous prime is 167149. The next prime is 167159. The reversal of 167152 is 251761.

167152 is an admirable number.

It is a super-2 number, since 2×167152² = 55879582208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328 + ... + 664.

2¹⁶⁷¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167648).

167152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

167152 is a wasteful number, since it uses less digits than its factorization.

167152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its digits is 420, while the sum is 22.

The square root of 167152 is about 408.8422678736. The cubic root of 167152 is about 55.0854868930.

The spelling of 167152 in words is "one hundred sixty-seven thousand, one hundred fifty-two".