132716107763712 has 1664 divisors, whose sum is σ = 467930562232320. Its totient is φ = 36758710517760.

The previous prime is 132716107763663. The next prime is 132716107763717. The reversal of 132716107763712 is 217367701617231.

132716107763712 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 610 + 7 + 7 + 6 + 3 + 7 + 12 = 666.

It is a super-2 number, since 2×132716107763712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (132716107763717) by changing a digit.

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, 56547126123 + ... + 56547128469.

Almost surely, 2^{132716107763712} is an apocalyptic number.

132716107763712 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 132716107763712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233965281116160).

132716107763712 is an abundant number, since it is smaller than the sum of its proper divisors (335214454468608).

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

132716107763712 is a wasteful number, since it uses less digits than its factorization.

132716107763712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 132716107763712 in words is "one hundred thirty-two trillion, seven hundred sixteen billion, one hundred seven million, seven hundred sixty-three thousand, seven hundred twelve".