13136254675488 has 1728 divisors, whose sum is σ = 48859291248768. Its totient is φ = 3449090211840.

The previous prime is 13136254675417. The next prime is 13136254675517. The reversal of 13136254675488 is 88457645263131.

13136254675488 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 2 + 546 + 7 + 5 + 4 + 88 = 666.

It is a super-2 number, since 2×13136254675488² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95885070556 + ... + 95885070692.

It is an arithmetic number, because the mean of its divisors is an integer number (28275052806).

Almost surely, 2^{13136254675488} is an apocalyptic number.

13136254675488 is a gapful number since it is divisible by the number (18) 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 13136254675488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429645624384).

13136254675488 is an abundant number, since it is smaller than the sum of its proper divisors (35723036573280).

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

13136254675488 is a wasteful number, since it uses less digits than its factorization.

13136254675488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 410 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 13136254675488 in words is "thirteen trillion, one hundred thirty-six billion, two hundred fifty-four million, six hundred seventy-five thousand, four hundred eighty-eight".