13134158175936 has 448 divisors, whose sum is σ = 42421137408000. Its totient is φ = 3502939115520.

The previous prime is 13134158175913. The next prime is 13134158175961. The reversal of 13134158175936 is 63957185143131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13134158175936² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1026821701 + ... + 1026834491.

Almost surely, 2^{13134158175936} is an apocalyptic number.

13134158175936 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 13134158175936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21210568704000).

13134158175936 is an abundant number, since it is smaller than the sum of its proper divisors (29286979232064).

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

13134158175936 is a wasteful number, since it uses less digits than its factorization.

13134158175936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 13410 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The spelling of 13134158175936 in words is "thirteen trillion, one hundred thirty-four billion, one hundred fifty-eight million, one hundred seventy-five thousand, nine hundred thirty-six".