167132160 has 440 divisors, whose sum is σ = 665782656. Its totient is φ = 39813120.

The previous prime is 167132123. The next prime is 167132177. The reversal of 167132160 is 61231761.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391345 + ... + 5391375.

Almost surely, 2^167132160 is an apocalyptic number.

167132160 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 167132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332891328).

167132160 is an abundant number, since it is smaller than the sum of its proper divisors (498650496).

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

167132160 is a wasteful number, since it uses less digits than its factorization.

167132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 167132160 is about 12927.9603959789. The cubic root of 167132160 is about 550.8330736117.

The spelling of 167132160 in words is "one hundred sixty-seven million, one hundred thirty-two thousand, one hundred sixty".