13157535425346 has 96 divisors (see below), whose sum is σ = 31002362751360. Its totient is φ = 4008729802752.

The previous prime is 13157535425267. The next prime is 13157535425389. The reversal of 13157535425346 is 64352453575131.

13157535425346 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 7 + 5 + 3 + 542 + 53 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13157535425292 and 13157535425301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273027465 + ... + 273075651.

It is an arithmetic number, because the mean of its divisors is an integer number (322941278660).

Almost surely, 2^{13157535425346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13157535425346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501181375680).

13157535425346 is an abundant number, since it is smaller than the sum of its proper divisors (17844827326014).

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

13157535425346 is a wasteful number, since it uses less digits than its factorization.

13157535425346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59640 (or 59637 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 54.

The spelling of 13157535425346 in words is "thirteen trillion, one hundred fifty-seven billion, five hundred thirty-five million, four hundred twenty-five thousand, three hundred forty-six".