132849787392 has 640 divisors, whose sum is σ = 482216993280. Its totient is φ = 35688480768.

The previous prime is 132849787381. The next prime is 132849787417. The reversal of 132849787392 is 293787948231.

132849787392 is a `hidden beast` number, since 1 + 3 + 2 + 84 + 97 + 87 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133249038 + ... + 133250034.

It is an arithmetic number, because the mean of its divisors is an integer number (753464052).

Almost surely, 2^132849787392 is an apocalyptic number.

132849787392 is a gapful number since it is divisible by the number (12) 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 132849787392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241108496640).

132849787392 is an abundant number, since it is smaller than the sum of its proper divisors (349367205888).

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

132849787392 is an frugal number, since it uses more digits than its factorization.

132849787392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1026 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 132849787392 in words is "one hundred thirty-two billion, eight hundred forty-nine million, seven hundred eighty-seven thousand, three hundred ninety-two".