6158131200 has 504 divisors, whose sum is σ = 23847684588. Its totient is φ = 1509949440.

The previous prime is 6158131193. The next prime is 6158131201. The reversal of 6158131200 is 21318516.

6158131200 is a `hidden beast` number, since 61 + 581 + 3 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3036450816 + 3121680384 = 55104^2 + 55872^2 .

It is not an unprimeable number, because it can be changed into a prime (6158131201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23961472 + ... + 23961728.

Almost surely, 2^6158131200 is an apocalyptic number.

6158131200 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 6158131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923842294).

6158131200 is an abundant number, since it is smaller than the sum of its proper divisors (17689553388).

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

6158131200 is a wasteful number, since it uses less digits than its factorization.

6158131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6158131200 is about 78473.7612199135. The cubic root of 6158131200 is about 1832.9458957229.

Adding to 6158131200 its reverse (21318516), we get a palindrome (6179449716).

The spelling of 6158131200 in words is "six billion, one hundred fifty-eight million, one hundred thirty-one thousand, two hundred".