6136457400 has 192 divisors, whose sum is σ = 21708655200. Its totient is φ = 1592110080.

The previous prime is 6136457389. The next prime is 6136457401. The reversal of 6136457400 is 47546316.

It is a happy number.

6136457400 is a `hidden beast` number, since 6 + 1 + 3 + 645 + 7 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×6136457400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6136457401) 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 47 ways as a sum of consecutive naturals, for example, 184444 + ... + 215156.

Almost surely, 2^6136457400 is an apocalyptic number.

6136457400 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 6136457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10854327600).

6136457400 is an abundant number, since it is smaller than the sum of its proper divisors (15572197800).

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

6136457400 is a wasteful number, since it uses less digits than its factorization.

6136457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775 (or 30760 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6136457400 is about 78335.5436567590. The cubic root of 6136457400 is about 1830.7929914494.

The spelling of 6136457400 in words is "six billion, one hundred thirty-six million, four hundred fifty-seven thousand, four hundred".