167141152 has 48 divisors (see below), whose sum is σ = 342309240. Its totient is φ = 80238592.

The previous prime is 167141141. The next prime is 167141179. The reversal of 167141152 is 251141761.

It can be written as a sum of positive squares in 4 ways, for example, as 80353296 + 86787856 = 8964^2 + 9316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 167141152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215838 + ... + 216610.

Almost surely, 2^167141152 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 167141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171154620).

167141152 is an abundant number, since it is smaller than the sum of its proper divisors (175168088).

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

167141152 is a wasteful number, since it uses less digits than its factorization.

167141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1037 counting only the distinct ones).

The product of its digits is 1680, while the sum is 28.

The square root of 167141152 is about 12928.3081646440. The cubic root of 167141152 is about 550.8429520260.

The spelling of 167141152 in words is "one hundred sixty-seven million, one hundred forty-one thousand, one hundred fifty-two".