132717016300 has 144 divisors (see below), whose sum is σ = 316259445600. Its totient is φ = 47942195200.

The previous prime is 132717016297. The next prime is 132717016301. The reversal of 132717016300 is 3610717231.

132717016300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132717016300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132717016301) 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, 164050296 + ... + 164051104.

It is an arithmetic number, because the mean of its divisors is an integer number (2196246150).

Almost surely, 2^132717016300 is an apocalyptic number.

132717016300 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 132717016300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158129722800).

132717016300 is an abundant number, since it is smaller than the sum of its proper divisors (183542429300).

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

132717016300 is a wasteful number, since it uses less digits than its factorization.

132717016300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The spelling of 132717016300 in words is "one hundred thirty-two billion, seven hundred seventeen million, sixteen thousand, three hundred".