132513300 has 144 divisors (see below), whose sum is σ = 451221120. Its totient is φ = 33246720.

The previous prime is 132513263. The next prime is 132513319. The reversal of 132513300 is 3315231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 44457 + ... + 47343.

It is an arithmetic number, because the mean of its divisors is an integer number (3133480).

Almost surely, 2^132513300 is an apocalyptic number.

132513300 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 132513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

132513300 is an abundant number, since it is smaller than the sum of its proper divisors (318707820).

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

132513300 is a wasteful number, since it uses less digits than its factorization.

132513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 132513300 is about 11511.4421338076. The cubic root of 132513300 is about 509.8234683140.

Adding to 132513300 its reverse (3315231), we get a palindrome (135828531).

The spelling of 132513300 in words is "one hundred thirty-two million, five hundred thirteen thousand, three hundred".