132003300 has 288 divisors, whose sum is σ = 477719424. Its totient is φ = 27648000.

The previous prime is 132003281. The next prime is 132003359. The reversal of 132003300 is 3300231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 729210 + ... + 729390.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 2^132003300 is an apocalyptic number.

132003300 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 132003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

132003300 is an abundant number, since it is smaller than the sum of its proper divisors (345716124).

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

132003300 is a wasteful number, since it uses less digits than its factorization.

132003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 132003300 is about 11489.2689062446. The cubic root of 132003300 is about 509.1685799667.

Adding to 132003300 its reverse (3300231), we get a palindrome (135303531).

It can be divided in two parts, 13200 and 3300, that multiplied together give a square (43560000 = 6600²).

The spelling of 132003300 in words is "one hundred thirty-two million, three thousand, three hundred".