13137702164496 has 1920 divisors, whose sum is σ = 50308780032000. Its totient is φ = 3260041344000.

The previous prime is 13137702164467. The next prime is 13137702164507. The reversal of 13137702164496 is 69446120773131.

13137702164496 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 70 + 21 + 64 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87004650021 + ... + 87004650171.

It is an arithmetic number, because the mean of its divisors is an integer number (26202489600).

Almost surely, 2^{13137702164496} is an apocalyptic number.

13137702164496 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 13137702164496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25154390016000).

13137702164496 is an abundant number, since it is smaller than the sum of its proper divisors (37171077867504).

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

13137702164496 is a wasteful number, since it uses less digits than its factorization.

13137702164496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 13137702164496 in words is "thirteen trillion, one hundred thirty-seven billion, seven hundred two million, one hundred sixty-four thousand, four hundred ninety-six".