5134061873136 has 320 divisors, whose sum is σ = 15620040253440. Its totient is φ = 1422584709120.

The previous prime is 5134061873119. The next prime is 5134061873153. The reversal of 5134061873136 is 6313781604315.

It is an interprime number because it is at equal distance from previous prime (5134061873119) and next prime (5134061873153).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2149041030 + ... + 2149043418.

It is an arithmetic number, because the mean of its divisors is an integer number (48812625792).

Almost surely, 2^{5134061873136} is an apocalyptic number.

5134061873136 is a gapful number since it is divisible by the number (56) 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 5134061873136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810020126720).

5134061873136 is an abundant number, since it is smaller than the sum of its proper divisors (10485978380304).

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

5134061873136 is a wasteful number, since it uses less digits than its factorization.

5134061873136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 5134061873136 in words is "five trillion, one hundred thirty-four billion, sixty-one million, eight hundred seventy-three thousand, one hundred thirty-six".