542144000 has 160 divisors (see below), whose sum is σ = 1390330656. Its totient is φ = 210739200.

The previous prime is 542143999. The next prime is 542144011. The reversal of 542144000 is 441245.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2751902 + ... + 2752098.

Almost surely, 2^542144000 is an apocalyptic number.

542144000 is a gapful number since it is divisible by the number (50) 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 542144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695165328).

542144000 is an abundant number, since it is smaller than the sum of its proper divisors (848186656).

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

542144000 is an equidigital number, since it uses as much as digits as its factorization.

542144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 542144000 is about 23283.9859130691. The cubic root of 542144000 is about 815.4015861225.

Adding to 542144000 its reverse (441245), we get a palindrome (542585245).

The spelling of 542144000 in words is "five hundred forty-two million, one hundred forty-four thousand".