132720768 has 192 divisors, whose sum is σ = 421031520. Its totient is φ = 41472000.

The previous prime is 132720727. The next prime is 132720773. The reversal of 132720768 is 867027231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×132720768² = 35229604517019648, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528643 + ... + 528893.

Almost surely, 2^132720768 is an apocalyptic number.

132720768 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 132720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

132720768 is an abundant number, since it is smaller than the sum of its proper divisors (288310752).

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

132720768 is an equidigital number, since it uses as much as digits as its factorization.

132720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 132720768 is about 11520.4499912113. The cubic root of 132720768 is about 510.0893960939.

Adding to 132720768 its reverse (867027231), we get a palindrome (999747999).

The spelling of 132720768 in words is "one hundred thirty-two million, seven hundred twenty thousand, seven hundred sixty-eight".