13137055360 has 384 divisors, whose sum is σ = 38993996160. Its totient is φ = 4164526080.

The previous prime is 13137055339. The next prime is 13137055363. The reversal of 13137055360 is 6355073131.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13137055363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166291801 + ... + 166291879.

It is an arithmetic number, because the mean of its divisors is an integer number (101546865).

Almost surely, 2^13137055360 is an apocalyptic number.

13137055360 is a gapful number since it is divisible by the number (10) 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 13137055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496998080).

13137055360 is an abundant number, since it is smaller than the sum of its proper divisors (25856940800).

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

13137055360 is a wasteful number, since it uses less digits than its factorization.

13137055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 34.

The spelling of 13137055360 in words is "thirteen billion, one hundred thirty-seven million, fifty-five thousand, three hundred sixty".