132540100 has 108 divisors (see below), whose sum is σ = 365132880. Its totient is φ = 41294400.

The previous prime is 132540071. The next prime is 132540103. The reversal of 132540100 is 1045231.

It is not an unprimeable number, because it can be changed into a prime (132540103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52671 + ... + 55129.

It is an arithmetic number, because the mean of its divisors is an integer number (3380860).

Almost surely, 2^132540100 is an apocalyptic number.

132540100 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 132540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182566440).

132540100 is an abundant number, since it is smaller than the sum of its proper divisors (232592780).

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

132540100 is a wasteful number, since it uses less digits than its factorization.

132540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 132540100 is about 11512.6061341470. The cubic root of 132540100 is about 509.8578355510.

Adding to 132540100 its reverse (1045231), we get a palindrome (133585331).

The spelling of 132540100 in words is "one hundred thirty-two million, five hundred forty thousand, one hundred".