132872300 has 72 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 47995200.

The previous prime is 132872297. The next prime is 132872303. The reversal of 132872300 is 3278231.

It is an interprime number because it is at equal distance from previous prime (132872297) and next prime (132872303).

It is a self number, because there is not a number n which added to its sum of digits gives 132872300.

It is not an unprimeable number, because it can be changed into a prime (132872303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 218597 + ... + 219203.

Almost surely, 2^132872300 is an apocalyptic number.

132872300 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 132872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

132872300 is an abundant number, since it is smaller than the sum of its proper divisors (183774100).

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

132872300 is a wasteful number, since it uses less digits than its factorization.

132872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 132872300 is about 11527.0247679095. The cubic root of 132872300 is about 510.2834513007.

The spelling of 132872300 in words is "one hundred thirty-two million, eight hundred seventy-two thousand, three hundred".