13125445632 has 576 divisors, whose sum is σ = 45542952000. Its totient is φ = 3702620160.

The previous prime is 13125445621. The next prime is 13125445639. The reversal of 13125445632 is 23654452131.

13125445632 is a `hidden beast` number, since 1 + 3 + 12 + 5 + 4 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125445639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423401457 + ... + 423401487.

It is an arithmetic number, because the mean of its divisors is an integer number (79067625).

Almost surely, 2^13125445632 is an apocalyptic number.

13125445632 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 13125445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771476000).

13125445632 is an abundant number, since it is smaller than the sum of its proper divisors (32417506368).

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

13125445632 is a wasteful number, since it uses less digits than its factorization.

13125445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 68 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 13125445632 its reverse (23654452131), we get a palindrome (36779897763).

The spelling of 13125445632 in words is "thirteen billion, one hundred twenty-five million, four hundred forty-five thousand, six hundred thirty-two".