132730336224 has 144 divisors (see below), whose sum is σ = 381781475712. Its totient is φ = 43737709824.

The previous prime is 132730336201. The next prime is 132730336241. The reversal of 132730336224 is 422633037231.

132730336224 is a `hidden beast` number, since 1 + 3 + 27 + 3 + 0 + 3 + 3 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15496167 + ... + 15504729.

It is an arithmetic number, because the mean of its divisors is an integer number (2651260248).

Almost surely, 2^132730336224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132730336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190890737856).

132730336224 is an abundant number, since it is smaller than the sum of its proper divisors (249051139488).

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

132730336224 is a wasteful number, since it uses less digits than its factorization.

132730336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 132730336224 in words is "one hundred thirty-two billion, seven hundred thirty million, three hundred thirty-six thousand, two hundred twenty-four".