5136122745600 has 432 divisors, whose sum is σ = 21132816579840. Its totient is φ = 1067245977600.

The previous prime is 5136122745587. The next prime is 5136122745601. The reversal of 5136122745600 is 65472216315.

It is a super-3 number, since 3×5136122745600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5136122745601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258655 + ... + 3215454.

Almost surely, 2^{5136122745600} is an apocalyptic number.

5136122745600 is a gapful number since it is divisible by the number (50) 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 5136122745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566408289920).

5136122745600 is an abundant number, since it is smaller than the sum of its proper divisors (15996693834240).

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

5136122745600 is a wasteful number, since it uses less digits than its factorization.

5136122745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474156 (or 3474137 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 5136122745600 in words is "five trillion, one hundred thirty-six billion, one hundred twenty-two million, seven hundred forty-five thousand, six hundred".