13146214032 has 160 divisors (see below), whose sum is σ = 43190568960. Its totient is φ = 3750364800.

The previous prime is 13146214027. The next prime is 13146214063. The reversal of 13146214032 is 23041264131.

It is a happy number.

13146214032 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 621 + 4 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13146213987 and 13146214005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243907 + ... + 2249757.

It is an arithmetic number, because the mean of its divisors is an integer number (269941056).

Almost surely, 2^13146214032 is an apocalyptic number.

13146214032 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 13146214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595284480).

13146214032 is an abundant number, since it is smaller than the sum of its proper divisors (30044354928).

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

13146214032 is a wasteful number, since it uses less digits than its factorization.

13146214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13146214032 its reverse (23041264131), we get a palindrome (36187478163).

The spelling of 13146214032 in words is "thirteen billion, one hundred forty-six million, two hundred fourteen thousand, thirty-two".