5131357144640 has 224 divisors, whose sum is σ = 13255389068544. Its totient is φ = 1884947742720.

The previous prime is 5131357144619. The next prime is 5131357144643. The reversal of 5131357144640 is 464417531315.

It is a super-2 number, since 2×5131357144640² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5131357144591 and 5131357144600.

It is not an unprimeable number, because it can be changed into a prime (5131357144643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37396799 + ... + 37533761.

It is an arithmetic number, because the mean of its divisors is an integer number (59175844056).

Almost surely, 2^{5131357144640} 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 5131357144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6627694534272).

5131357144640 is an abundant number, since it is smaller than the sum of its proper divisors (8124031923904).

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

5131357144640 is a wasteful number, since it uses less digits than its factorization.

5131357144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137165 (or 137155 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 5131357144640 in words is "five trillion, one hundred thirty-one billion, three hundred fifty-seven million, one hundred forty-four thousand, six hundred forty".