132300165304320 has 1664 divisors, whose sum is σ = 502850297134080. Its totient is φ = 29394185748480.

The previous prime is 132300165304309. The next prime is 132300165304327. The reversal of 132300165304320 is 23403561003231.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300165304327) 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, 35670034626 + ... + 35670038334.

Almost surely, 2^{132300165304320} is an apocalyptic number.

132300165304320 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 132300165304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251425148567040).

132300165304320 is an abundant number, since it is smaller than the sum of its proper divisors (370550131829760).

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

132300165304320 is a wasteful number, since it uses less digits than its factorization.

132300165304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 132300165304320 in words is "one hundred thirty-two trillion, three hundred billion, one hundred sixty-five million, three hundred four thousand, three hundred twenty".