5137941600 has 432 divisors, whose sum is σ = 20455409520. Its totient is φ = 1202073600.

The previous prime is 5137941583. The next prime is 5137941617. The reversal of 5137941600 is 61497315.

5137941600 is a `hidden beast` number, since 5 + 1 + 3 + 7 + 9 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5137941583) and next prime (5137941617).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2295682 + ... + 2297918.

It is an arithmetic number, because the mean of its divisors is an integer number (47350485).

Almost surely, 2^5137941600 is an apocalyptic number.

5137941600 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 5137941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10227704760).

5137941600 is an abundant number, since it is smaller than the sum of its proper divisors (15317467920).

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

5137941600 is a wasteful number, since it uses less digits than its factorization.

5137941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5137941600 is about 71679.4363817127. The cubic root of 5137941600 is about 1725.5586344438.

The spelling of 5137941600 in words is "five billion, one hundred thirty-seven million, nine hundred forty-one thousand, six hundred".