132765600 has 288 divisors, whose sum is σ = 485968896. Its totient is φ = 31206400.

The previous prime is 132765599. The next prime is 132765629. The reversal of 132765600 is 6567231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1240747 + ... + 1240853.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^132765600 is an apocalyptic number.

132765600 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 132765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

132765600 is an abundant number, since it is smaller than the sum of its proper divisors (353203296).

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

132765600 is a wasteful number, since it uses less digits than its factorization.

132765600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 132765600 is about 11522.3955842524. The cubic root of 132765600 is about 510.1468243163.

The spelling of 132765600 in words is "one hundred thirty-two million, seven hundred sixty-five thousand, six hundred".