13497712091136 has 2016 divisors, whose sum is σ = 51514719879168. Its totient is φ = 3371056496640.

The previous prime is 13497712091131. The next prime is 13497712091147. The reversal of 13497712091136 is 63119021779431.

It is a happy number.

13497712091136 is a `hidden beast` number, since 1 + 3 + 497 + 7 + 12 + 0 + 9 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (13497712091131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106281197505 + ... + 106281197631.

It is an arithmetic number, because the mean of its divisors is an integer number (25552936448).

Almost surely, 2^{13497712091136} is an apocalyptic number.

13497712091136 is a gapful number since it is divisible by the number (16) 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 13497712091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25757359939584).

13497712091136 is an abundant number, since it is smaller than the sum of its proper divisors (38017007788032).

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

13497712091136 is a wasteful number, since it uses less digits than its factorization.

13497712091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 13497712091136 in words is "thirteen trillion, four hundred ninety-seven billion, seven hundred twelve million, ninety-one thousand, one hundred thirty-six".