132145200 has 360 divisors, whose sum is σ = 518109696. Its totient is φ = 30912000.

The previous prime is 132145183. The next prime is 132145207. The reversal of 132145200 is 2541231.

132145200 is a `hidden beast` number, since 132 + 14 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132145207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1861165 + ... + 1861235.

Almost surely, 2^132145200 is an apocalyptic number.

132145200 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 132145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259054848).

132145200 is an abundant number, since it is smaller than the sum of its proper divisors (385964496).

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

132145200 is a wasteful number, since it uses less digits than its factorization.

132145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

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

The square root of 132145200 is about 11495.4425752121. The cubic root of 132145200 is about 509.3509621437.

Adding to 132145200 its reverse (2541231), we get a palindrome (134686431).

The spelling of 132145200 in words is "one hundred thirty-two million, one hundred forty-five thousand, two hundred".