132516464640 has 384 divisors, whose sum is σ = 489585358080. Its totient is φ = 29972496384.

The previous prime is 132516464629. The next prime is 132516464653. The reversal of 132516464640 is 46464615231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×132516464640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132516464592 and 132516464601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20855704 + ... + 20862056.

It is an arithmetic number, because the mean of its divisors is an integer number (1274961870).

Almost surely, 2^132516464640 is an apocalyptic number.

132516464640 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 132516464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244792679040).

132516464640 is an abundant number, since it is smaller than the sum of its proper divisors (357068893440).

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

132516464640 is an equidigital number, since it uses as much as digits as its factorization.

132516464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 132516464640 in words is "one hundred thirty-two billion, five hundred sixteen million, four hundred sixty-four thousand, six hundred forty".