132541200 has 180 divisors, whose sum is σ = 501918768. Its totient is φ = 32121600.

The previous prime is 132541193. The next prime is 132541219. The reversal of 132541200 is 2145231.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37927 + ... + 41273.

Almost surely, 2^132541200 is an apocalyptic number.

132541200 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 132541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250959384).

132541200 is an abundant number, since it is smaller than the sum of its proper divisors (369377568).

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

132541200 is a wasteful number, since it uses less digits than its factorization.

132541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132541200 is about 11512.6539077660. The cubic root of 132541200 is about 509.8592460476.

132541200 divided by its product of nonzero digits (240) gives a palindrome (552255).

Adding to 132541200 its reverse (2145231), we get a palindrome (134686431).

The spelling of 132541200 in words is "one hundred thirty-two million, five hundred forty-one thousand, two hundred".