541136736 has 144 divisors (see below), whose sum is σ = 1783270944. Its totient is φ = 152451072.

The previous prime is 541136671. The next prime is 541136747. The reversal of 541136736 is 637631145.

It is a tau number, because it is divible by the number of its divisors (144).

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 541136736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145330 + ... + 149006.

It is an arithmetic number, because the mean of its divisors is an integer number (12383826).

Almost surely, 2^541136736 is an apocalyptic number.

541136736 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 541136736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891635472).

541136736 is an abundant number, since it is smaller than the sum of its proper divisors (1242134208).

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

541136736 is a wasteful number, since it uses less digits than its factorization.

541136736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3762 counting only the distinct ones).

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

The square root of 541136736 is about 23262.3458834228. The cubic root of 541136736 is about 814.8962875040.

The spelling of 541136736 in words is "five hundred forty-one million, one hundred thirty-six thousand, seven hundred thirty-six".