541202144 has 96 divisors (see below), whose sum is σ = 1288949760. Its totient is φ = 218668032.

The previous prime is 541202131. The next prime is 541202153. The reversal of 541202144 is 441202145.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375377 + ... + 376815.

It is an arithmetic number, because the mean of its divisors is an integer number (13426560).

Almost surely, 2^541202144 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 541202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644474880).

541202144 is an abundant number, since it is smaller than the sum of its proper divisors (747747616).

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

541202144 is a wasteful number, since it uses less digits than its factorization.

541202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 541202144 is about 23263.7517180699. The cubic root of 541202144 is about 814.9291187556.

Adding to 541202144 its reverse (441202145), we get a palindrome (982404289).

Subtracting from 541202144 its reverse (441202145), we obtain a palindrome (99999999).

The spelling of 541202144 in words is "five hundred forty-one million, two hundred two thousand, one hundred forty-four".