13146741342 has 192 divisors, whose sum is σ = 36007856640. Its totient is φ = 3470418432.

The previous prime is 13146741329. The next prime is 13146741343. The reversal of 13146741342 is 24314764131.

Its product of digits (48384) is a multiple of the sum of its prime factors (432).

It is a junction number, because it is equal to n+sod(n) for n = 13146741297 and 13146741306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146741343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83737128 + ... + 83737284.

It is an arithmetic number, because the mean of its divisors is an integer number (187540920).

Almost surely, 2^13146741342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13146741342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18003928320).

13146741342 is an abundant number, since it is smaller than the sum of its proper divisors (22861115298).

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

13146741342 is a wasteful number, since it uses less digits than its factorization.

13146741342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 269 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 13146741342 in words is "thirteen billion, one hundred forty-six million, seven hundred forty-one thousand, three hundred forty-two".