13157337179352 has 256 divisors, whose sum is σ = 34773225062400. Its totient is φ = 4143192768000.

The previous prime is 13157337179347. The next prime is 13157337179369. The reversal of 13157337179352 is 25397173375131.

It is a junction number, because it is equal to n+sod(n) for n = 13157337179292 and 13157337179301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9018050799 + ... + 9018052257.

It is an arithmetic number, because the mean of its divisors is an integer number (135832910400).

Almost surely, 2^{13157337179352} is an apocalyptic number.

13157337179352 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 13157337179352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386612531200).

13157337179352 is an abundant number, since it is smaller than the sum of its proper divisors (21615887883048).

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

13157337179352 is a wasteful number, since it uses less digits than its factorization.

13157337179352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3074 counting only the distinct ones).

The product of its digits is 12502350, while the sum is 57.

The spelling of 13157337179352 in words is "thirteen trillion, one hundred fifty-seven billion, three hundred thirty-seven million, one hundred seventy-nine thousand, three hundred fifty-two".