132368544 has 288 divisors, whose sum is σ = 483065856. Its totient is φ = 33384960.

The previous prime is 132368513. The next prime is 132368549. The reversal of 132368544 is 445863231.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 132368499 and 132368508.

It is not an unprimeable number, because it can be changed into a prime (132368549) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1042209 + ... + 1042335.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312).

Almost surely, 2^132368544 is an apocalyptic number.

132368544 is a gapful number since it is divisible by the number (14) 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 132368544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241532928).

132368544 is an abundant number, since it is smaller than the sum of its proper divisors (350697312).

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

132368544 is a wasteful number, since it uses less digits than its factorization.

132368544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 132368544 is about 11505.1529324907. The cubic root of 132368544 is about 509.6377589172.

The spelling of 132368544 in words is "one hundred thirty-two million, three hundred sixty-eight thousand, five hundred forty-four".