132161568 has 192 divisors, whose sum is σ = 455777280. Its totient is φ = 32486400.

The previous prime is 132161567. The next prime is 132161569. The reversal of 132161568 is 865161231.

It is an interprime number because it is at equal distance from previous prime (132161567) and next prime (132161569).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132161567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139978 + ... + 140918.

It is an arithmetic number, because the mean of its divisors is an integer number (2373840).

Almost surely, 2^132161568 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 132161568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227888640).

132161568 is an abundant number, since it is smaller than the sum of its proper divisors (323615712).

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

132161568 is a wasteful number, since it uses less digits than its factorization.

132161568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 132161568 is about 11496.1544874797. The cubic root of 132161568 is about 509.3719913155.

The spelling of 132161568 in words is "one hundred thirty-two million, one hundred sixty-one thousand, five hundred sixty-eight".