132444648 has 192 divisors, whose sum is σ = 434304000. Its totient is φ = 36408960.

The previous prime is 132444647. The next prime is 132444659. The reversal of 132444648 is 846444231.

132444648 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 4 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (132444647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765490 + ... + 765662.

It is an arithmetic number, because the mean of its divisors is an integer number (2262000).

Almost surely, 2^132444648 is an apocalyptic number.

132444648 is a gapful number since it is divisible by the number (18) 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 132444648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217152000).

132444648 is an abundant number, since it is smaller than the sum of its proper divisors (301859352).

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

132444648 is a wasteful number, since it uses less digits than its factorization.

132444648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 132444648 is about 11508.4598448272. The cubic root of 132444648 is about 509.7354106203.

Adding to 132444648 its reverse (846444231), we get a palindrome (978888879).

The spelling of 132444648 in words is "one hundred thirty-two million, four hundred forty-four thousand, six hundred forty-eight".