5136293286144 has 432 divisors, whose sum is σ = 15583882362048. Its totient is φ = 1687056408576.

The previous prime is 5136293286127. The next prime is 5136293286151. The reversal of 5136293286144 is 4416823926315.

It is a happy number.

5136293286144 is a `hidden beast` number, since 5 + 1 + 3 + 629 + 3 + 2 + 8 + 6 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 1311280474 + ... + 1311284390.

It is an arithmetic number, because the mean of its divisors is an integer number (36073801764).

Almost surely, 2^{5136293286144} is an apocalyptic number.

5136293286144 is a gapful number since it is divisible by the number (54) 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 5136293286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791941181024).

5136293286144 is an abundant number, since it is smaller than the sum of its proper divisors (10447589075904).

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

5136293286144 is a wasteful number, since it uses less digits than its factorization.

5136293286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4226 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 5136293286144 in words is "five trillion, one hundred thirty-six billion, two hundred ninety-three million, two hundred eighty-six thousand, one hundred forty-four".