132247334016 has 288 divisors, whose sum is σ = 459088091280. Its totient is φ = 37784517120.

The previous prime is 132247333993. The next prime is 132247334017. The reversal of 132247334016 is 610433742231.

132247334016 is a `hidden beast` number, since 1 + 3 + 2 + 247 + 3 + 3 + 401 + 6 = 666.

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 not an unprimeable number, because it can be changed into a prime (132247334017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1480711 + ... + 1567481.

Almost surely, 2^132247334016 is an apocalyptic number.

132247334016 is a gapful number since it is divisible by the number (16) 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 132247334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229544045640).

132247334016 is an abundant number, since it is smaller than the sum of its proper divisors (326840757264).

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

132247334016 is an frugal number, since it uses more digits than its factorization.

132247334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86814 (or 86783 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 132247334016 in words is "one hundred thirty-two billion, two hundred forty-seven million, three hundred thirty-four thousand, sixteen".