5135149498752 has 768 divisors, whose sum is σ = 19217001323520. Its totient is φ = 1328733020160.

The previous prime is 5135149498711. The next prime is 5135149498757. The reversal of 5135149498752 is 2578949415315.

It is a happy number.

5135149498752 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 1 + 494 + 98 + 7 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5135149498752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135149498757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149997477 + ... + 150031707.

It is an arithmetic number, because the mean of its divisors is an integer number (25022137140).

Almost surely, 2^{5135149498752} is an apocalyptic number.

5135149498752 is a gapful number since it is divisible by the number (52) 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 5135149498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608500661760).

5135149498752 is an abundant number, since it is smaller than the sum of its proper divisors (14081851824768).

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

5135149498752 is a wasteful number, since it uses less digits than its factorization.

5135149498752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34333 (or 34309 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 5135149498752 in words is "five trillion, one hundred thirty-five billion, one hundred forty-nine million, four hundred ninety-eight thousand, seven hundred fifty-two".