6131139300 has 216 divisors, whose sum is σ = 22577929920. Its totient is φ = 1371974400.

The previous prime is 6131139299. The next prime is 6131139307. The reversal of 6131139300 is 39311316.

6131139300 is a `hidden beast` number, since 613 + 1 + 13 + 9 + 30 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6131139307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104881 + ... + 152519.

Almost surely, 2^6131139300 is an apocalyptic number.

6131139300 is a gapful number since it is divisible by the number (60) 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 6131139300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288964960).

6131139300 is an abundant number, since it is smaller than the sum of its proper divisors (16446790620).

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

6131139300 is a wasteful number, since it uses less digits than its factorization.

6131139300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47683 (or 47673 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 6131139300 is about 78301.5919378399. The cubic root of 6131139300 is about 1830.2639590581.

The spelling of 6131139300 in words is "six billion, one hundred thirty-one million, one hundred thirty-nine thousand, three hundred".