5135274144 has 576 divisors, whose sum is σ = 20077424640. Its totient is φ = 1201858560.

The previous prime is 5135274113. The next prime is 5135274173. The reversal of 5135274144 is 4414725315.

5135274144 is a `hidden beast` number, since 51 + 3 + 527 + 41 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5135274099 and 5135274108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13549347 + ... + 13549725.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^5135274144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135274144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

5135274144 is an abundant number, since it is smaller than the sum of its proper divisors (14942150496).

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

5135274144 is a wasteful number, since it uses less digits than its factorization.

5135274144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 5135274144 is about 71660.8271233315. The cubic root of 5135274144 is about 1725.2599643490.

Adding to 5135274144 its reverse (4414725315), we get a palindrome (9549999459).

The spelling of 5135274144 in words is "five billion, one hundred thirty-five million, two hundred seventy-four thousand, one hundred forty-four".