132138540 has 216 divisors, whose sum is σ = 446387760. Its totient is φ = 32752512.

The previous prime is 132138511. The next prime is 132138553. The reversal of 132138540 is 45831231.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2493154 + ... + 2493206.

It is an arithmetic number, because the mean of its divisors is an integer number (2066610).

Almost surely, 2^132138540 is an apocalyptic number.

132138540 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 132138540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223193880).

132138540 is an abundant number, since it is smaller than the sum of its proper divisors (314249220).

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

132138540 is an equidigital number, since it uses as much as digits as its factorization.

132138540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132138540 is about 11495.1528915452. The cubic root of 132138540 is about 509.3424050554.

Adding to 132138540 its reverse (45831231), we get a palindrome (177969771).

The spelling of 132138540 in words is "one hundred thirty-two million, one hundred thirty-eight thousand, five hundred forty".