132713482752 has 640 divisors, whose sum is σ = 444905809920. Its totient is φ = 38831063040.

The previous prime is 132713482747. The next prime is 132713482763. The reversal of 132713482752 is 257284317231.

132713482752 is a `hidden beast` number, since 1 + 32 + 7 + 1 + 348 + 275 + 2 = 666.

It is a super-2 number, since 2×132713482752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132713482698 and 132713482707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232422627 + ... + 232423197.

It is an arithmetic number, because the mean of its divisors is an integer number (695165328).

Almost surely, 2^132713482752 is an apocalyptic number.

132713482752 is a gapful number since it is divisible by the number (12) 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 132713482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222452904960).

132713482752 is an abundant number, since it is smaller than the sum of its proper divisors (312192327168).

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

132713482752 is a wasteful number, since it uses less digits than its factorization.

132713482752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

Adding to 132713482752 its reverse (257284317231), we get a palindrome (389997799983).

The spelling of 132713482752 in words is "one hundred thirty-two billion, seven hundred thirteen million, four hundred eighty-two thousand, seven hundred fifty-two".