132142560 has 192 divisors, whose sum is σ = 470292480. Its totient is φ = 30894080.

The previous prime is 132142541. The next prime is 132142561. The reversal of 132142560 is 65241231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132142560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132142561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152689 + ... + 153551.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^132142560 is an apocalyptic number.

132142560 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 132142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240).

132142560 is an abundant number, since it is smaller than the sum of its proper divisors (338149920).

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

132142560 is a wasteful number, since it uses less digits than its factorization.

132142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132142560 is about 11495.3277465238. The cubic root of 132142560 is about 509.3475701791.

Adding to 132142560 its reverse (65241231), we get a palindrome (197383791).

The spelling of 132142560 in words is "one hundred thirty-two million, one hundred forty-two thousand, five hundred sixty".