541150144 has 56 divisors (see below), whose sum is σ = 1105546176. Its totient is φ = 262656000.

The previous prime is 541150139. The next prime is 541150147. The reversal of 541150144 is 441051145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541150147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710724 + ... + 711484.

It is an arithmetic number, because the mean of its divisors is an integer number (19741896).

Almost surely, 2^541150144 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 541150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552773088).

541150144 is an abundant number, since it is smaller than the sum of its proper divisors (564396032).

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

541150144 is a wasteful number, since it uses less digits than its factorization.

541150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 541150144 is about 23262.6340726926. The cubic root of 541150144 is about 814.9030178049.

It can be divided in two parts, 5411 and 50144, that added together give a palindrome (55555).

The spelling of 541150144 in words is "five hundred forty-one million, one hundred fifty thousand, one hundred forty-four".