132742560 has 96 divisors (see below), whose sum is σ = 422597952. Its totient is φ = 35020800.

The previous prime is 132742553. The next prime is 132742573. The reversal of 132742560 is 65247231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45135 + ... + 47985.

It is an arithmetic number, because the mean of its divisors is an integer number (4402062).

Almost surely, 2^132742560 is an apocalyptic number.

132742560 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 132742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211298976).

132742560 is an abundant number, since it is smaller than the sum of its proper divisors (289855392).

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

132742560 is a wasteful number, since it uses less digits than its factorization.

132742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 132742560 is about 11521.3957487797. The cubic root of 132742560 is about 510.1173124980.

Adding to 132742560 its reverse (65247231), we get a palindrome (197989791).

The spelling of 132742560 in words is "one hundred thirty-two million, seven hundred forty-two thousand, five hundred sixty".