13089138432 has 144 divisors (see below), whose sum is σ = 36064401408. Its totient is φ = 4210053120.

The previous prime is 13089138409. The next prime is 13089138493. The reversal of 13089138432 is 23483198031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11974878 + ... + 11975970.

It is an arithmetic number, because the mean of its divisors is an integer number (250447232).

Almost surely, 2^13089138432 is an apocalyptic number.

13089138432 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 13089138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032200704).

13089138432 is an abundant number, since it is smaller than the sum of its proper divisors (22975262976).

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

13089138432 is a wasteful number, since it uses less digits than its factorization.

13089138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 13089138432 in words is "thirteen billion, eighty-nine million, one hundred thirty-eight thousand, four hundred thirty-two".