542112000 has 144 divisors (see below), whose sum is σ = 1800943872. Its totient is φ = 144537600.

The previous prime is 542111987. The next prime is 542112007. The reversal of 542112000 is 211245.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (542112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93177 + ... + 98823.

Almost surely, 2^542112000 is an apocalyptic number.

542112000 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 542112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900471936).

542112000 is an abundant number, since it is smaller than the sum of its proper divisors (1258831872).

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

542112000 is an equidigital number, since it uses as much as digits as its factorization.

542112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 542112000 is about 23283.2987353596. The cubic root of 542112000 is about 815.3855428055.

Adding to 542112000 its reverse (211245), we get a palindrome (542323245).

The spelling of 542112000 in words is "five hundred forty-two million, one hundred twelve thousand".