132543600 has 240 divisors, whose sum is σ = 501872640. Its totient is φ = 29260800.

The previous prime is 132543599. The next prime is 132543629. The reversal of 132543600 is 6345231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260146 + ... + 260654.

It is an arithmetic number, because the mean of its divisors is an integer number (2091136).

Almost surely, 2^132543600 is an apocalyptic number.

132543600 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 132543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250936320).

132543600 is an abundant number, since it is smaller than the sum of its proper divisors (369329040).

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

132543600 is a wasteful number, since it uses less digits than its factorization.

132543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 132543600 is about 11512.7581404284. The cubic root of 132543600 is about 509.8623234675.

Adding to 132543600 its reverse (6345231), we get a palindrome (138888831).

The spelling of 132543600 in words is "one hundred thirty-two million, five hundred forty-three thousand, six hundred".