1382132300 has 72 divisors (see below), whose sum is σ = 3192545664. Its totient is φ = 517565440.

The previous prime is 1382132291. The next prime is 1382132329. The reversal of 1382132300 is 32312831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332837 + ... + 336963.

It is an arithmetic number, because the mean of its divisors is an integer number (44340912).

Almost surely, 2^1382132300 is an apocalyptic number.

1382132300 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 1382132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596272832).

1382132300 is an abundant number, since it is smaller than the sum of its proper divisors (1810413364).

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

1382132300 is a wasteful number, since it uses less digits than its factorization.

1382132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1382132300 is about 37177.0399574791. The cubic root of 1382132300 is about 1113.9094084035.

The spelling of 1382132300 in words is "one billion, three hundred eighty-two million, one hundred thirty-two thousand, three hundred".