54136137600 has 864 divisors, whose sum is σ = 210489027840. Its totient is φ = 13237862400.

The previous prime is 54136137569. The next prime is 54136137689. The reversal of 54136137600 is 673163145.

54136137600 is a `hidden beast` number, since 5 + 4 + 1 + 36 + 13 + 7 + 600 = 666.

It is a super-2 number, since 2×54136137600² (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 426268737 + ... + 426268863.

It is an arithmetic number, because the mean of its divisors is an integer number (243621560).

Almost surely, 2^54136137600 is an apocalyptic number.

54136137600 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 54136137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105244513920).

54136137600 is an abundant number, since it is smaller than the sum of its proper divisors (156352890240).

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

54136137600 is a wasteful number, since it uses less digits than its factorization.

54136137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 54136137600 in words is "fifty-four billion, one hundred thirty-six million, one hundred thirty-seven thousand, six hundred".