5138242200 has 864 divisors, whose sum is σ = 22655692800. Its totient is φ = 1018967040.

The previous prime is 5138242199. The next prime is 5138242223. The reversal of 5138242200 is 22428315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40458537 + ... + 40458663.

Almost surely, 2^5138242200 is an apocalyptic number.

5138242200 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 5138242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327846400).

5138242200 is an abundant number, since it is smaller than the sum of its proper divisors (17517450600).

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

5138242200 is a wasteful number, since it uses less digits than its factorization.

5138242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5138242200 is about 71681.5331867281. The cubic root of 5138242200 is about 1725.5922855860.

The spelling of 5138242200 in words is "five billion, one hundred thirty-eight million, two hundred forty-two thousand, two hundred".