541539134136 has 1536 divisors, whose sum is σ = 2156944204800. Its totient is φ = 123634667520.

The previous prime is 541539134131. The next prime is 541539134159. The reversal of 541539134136 is 631431935145.

541539134136 is a `hidden beast` number, since 5 + 41 + 539 + 1 + 3 + 41 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 541539134091 and 541539134100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541539134131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3449293770 + ... + 3449293926.

It is an arithmetic number, because the mean of its divisors is an integer number (1404260550).

Almost surely, 2^541539134136 is an apocalyptic number.

541539134136 is a gapful number since it is divisible by the number (56) 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 541539134136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078472102400).

541539134136 is an abundant number, since it is smaller than the sum of its proper divisors (1615405070664).

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

541539134136 is a wasteful number, since it uses less digits than its factorization.

541539134136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 541539134136 in words is "five hundred forty-one billion, five hundred thirty-nine million, one hundred thirty-four thousand, one hundred thirty-six".