6100134134400 has 288 divisors, whose sum is σ = 21844167001020. Its totient is φ = 1620911308800.

The previous prime is 6100134134249. The next prime is 6100134134417. The reversal of 6100134134400 is 44314310016.

6100134134400 is a `hidden beast` number, since 610 + 0 + 1 + 3 + 4 + 1 + 3 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3512385746496 + 2587748387904 = 1874136^2 + 1608648^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7715914 + ... + 8469686.

Almost surely, 2^{6100134134400} is an apocalyptic number.

6100134134400 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 6100134134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922083500510).

6100134134400 is an abundant number, since it is smaller than the sum of its proper divisors (15744032866620).

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

6100134134400 is a wasteful number, since it uses less digits than its factorization.

6100134134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754084 (or 754064 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 6100134134400 its reverse (44314310016), we get a palindrome (6144448444416).

The spelling of 6100134134400 in words is "six trillion, one hundred billion, one hundred thirty-four million, one hundred thirty-four thousand, four hundred".