132501600 has 432 divisors, whose sum is σ = 584962560. Its totient is φ = 27417600.

The previous prime is 132501583. The next prime is 132501613. The reversal of 132501600 is 6105231.

132501600 is a `hidden beast` number, since 13 + 2 + 50 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 554281 + ... + 554519.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^132501600 is an apocalyptic number.

132501600 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 132501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

132501600 is an abundant number, since it is smaller than the sum of its proper divisors (452460960).

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

132501600 is a wasteful number, since it uses less digits than its factorization.

132501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132501600 is about 11510.9339325704. The cubic root of 132501600 is about 509.8084632538.

Adding to 132501600 its reverse (6105231), we get a palindrome (138606831).

The spelling of 132501600 in words is "one hundred thirty-two million, five hundred one thousand, six hundred".