54185102136 has 192 divisors, whose sum is σ = 161823018240. Its totient is φ = 16243200000.

The previous prime is 54185102071. The next prime is 54185102141. The reversal of 54185102136 is 63120158145.

54185102136 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 510 + 2 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54185102136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33843736 + ... + 33845336.

It is an arithmetic number, because the mean of its divisors is an integer number (842828220).

Almost surely, 2^54185102136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54185102136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80911509120).

54185102136 is an abundant number, since it is smaller than the sum of its proper divisors (107637916104).

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

54185102136 is a wasteful number, since it uses less digits than its factorization.

54185102136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 54185102136 in words is "fifty-four billion, one hundred eighty-five million, one hundred two thousand, one hundred thirty-six".