132765200 has 60 divisors (see below), whose sum is σ = 332859648. Its totient is φ = 50793600.

The previous prime is 132765181. The next prime is 132765203. The reversal of 132765200 is 2567231.

It is a self number, because there is not a number n which added to its sum of digits gives 132765200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132765203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1985 + ... + 16415.

Almost surely, 2^132765200 is an apocalyptic number.

132765200 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 132765200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166429824).

132765200 is an abundant number, since it is smaller than the sum of its proper divisors (200094448).

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

132765200 is a wasteful number, since it uses less digits than its factorization.

132765200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14472 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 132765200 is about 11522.3782267377. The cubic root of 132765200 is about 510.1463119875.

The spelling of 132765200 in words is "one hundred thirty-two million, seven hundred sixty-five thousand, two hundred".