132138160 has 160 divisors (see below), whose sum is σ = 403545600. Its totient is φ = 38983680.

The previous prime is 132138157. The next prime is 132138163. The reversal of 132138160 is 61831231.

It is an interprime number because it is at equal distance from previous prime (132138157) and next prime (132138163).

It is not an unprimeable number, because it can be changed into a prime (132138163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116476 + ... + 117604.

It is an arithmetic number, because the mean of its divisors is an integer number (2522160).

Almost surely, 2^132138160 is an apocalyptic number.

132138160 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 132138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201772800).

132138160 is an abundant number, since it is smaller than the sum of its proper divisors (271407440).

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

132138160 is a wasteful number, since it uses less digits than its factorization.

132138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 132138160 is about 11495.1363628275. The cubic root of 132138160 is about 509.3419168045.

Adding to 132138160 its reverse (61831231), we get a palindrome (193969391).

The spelling of 132138160 in words is "one hundred thirty-two million, one hundred thirty-eight thousand, one hundred sixty".