132075300 has 144 divisors (see below), whose sum is σ = 441499520. Its totient is φ = 29859840.

The previous prime is 132075299. The next prime is 132075331. The reversal of 132075300 is 3570231.

It is a happy number.

It is a super-3 number, since 3×132075300³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228612 + ... + 229188.

Almost surely, 2^132075300 is an apocalyptic number.

132075300 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 132075300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220749760).

132075300 is an abundant number, since it is smaller than the sum of its proper divisors (309424220).

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

132075300 is a wasteful number, since it uses less digits than its factorization.

132075300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 132075300 is about 11492.4018377361. The cubic root of 132075300 is about 509.2611369318.

The spelling of 132075300 in words is "one hundred thirty-two million, seventy-five thousand, three hundred".