132541511200 has 288 divisors, whose sum is σ = 393762297600. Its totient is φ = 43464960000.

The previous prime is 132541511197. The next prime is 132541511227. The reversal of 132541511200 is 2115145231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6300700 + ... + 6321700.

It is an arithmetic number, because the mean of its divisors is an integer number (1367230200).

Almost surely, 2^132541511200 is an apocalyptic number.

132541511200 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 132541511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196881148800).

132541511200 is an abundant number, since it is smaller than the sum of its proper divisors (261220786400).

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

132541511200 is a wasteful number, since it uses less digits than its factorization.

132541511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21065 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 132541511200 its reverse (2115145231), we get a palindrome (134656656431).

The spelling of 132541511200 in words is "one hundred thirty-two billion, five hundred forty-one million, five hundred eleven thousand, two hundred".