13732146432 has 180 divisors, whose sum is σ = 41051826816. Its totient is φ = 4565652480.

The previous prime is 13732146427. The next prime is 13732146451. The reversal of 13732146432 is 23464123731.

13732146432 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 2 + 1 + 4 + 643 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12586207 + ... + 12587297.

Almost surely, 2^13732146432 is an apocalyptic number.

13732146432 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 13732146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525913408).

13732146432 is an abundant number, since it is smaller than the sum of its proper divisors (27319680384).

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

13732146432 is an equidigital number, since it uses as much as digits as its factorization.

13732146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1703 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 13732146432 in words is "thirteen billion, seven hundred thirty-two million, one hundred forty-six thousand, four hundred thirty-two".