13641516132 has 96 divisors (see below), whose sum is σ = 33929911680. Its totient is φ = 4258759680.

The previous prime is 13641516113. The next prime is 13641516137. The reversal of 13641516132 is 23161514631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13641516093 and 13641516102.

It is not an unprimeable number, because it can be changed into a prime (13641516137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545243 + ... + 1554045.

It is an arithmetic number, because the mean of its divisors is an integer number (353436580).

Almost surely, 2^13641516132 is an apocalyptic number.

13641516132 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 13641516132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964955840).

13641516132 is an abundant number, since it is smaller than the sum of its proper divisors (20288395548).

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

13641516132 is a wasteful number, since it uses less digits than its factorization.

13641516132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8971 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The spelling of 13641516132 in words is "thirteen billion, six hundred forty-one million, five hundred sixteen thousand, one hundred thirty-two".