132771267720 has 512 divisors, whose sum is σ = 562286592000. Its totient is φ = 27109002240.

The previous prime is 132771267701. The next prime is 132771267749. The reversal of 132771267720 is 27762177231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3024891 + ... + 3068469.

It is an arithmetic number, because the mean of its divisors is an integer number (1098216000).

Almost surely, 2^132771267720 is an apocalyptic number.

132771267720 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 132771267720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281143296000).

132771267720 is an abundant number, since it is smaller than the sum of its proper divisors (429515324280).

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

132771267720 is a wasteful number, since it uses less digits than its factorization.

132771267720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43650 (or 43640 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 132771267720 in words is "one hundred thirty-two billion, seven hundred seventy-one million, two hundred sixty-seven thousand, seven hundred twenty".