542142000 has 120 divisors (see below), whose sum is σ = 1893584160. Its totient is φ = 144566400.

The previous prime is 542141983. The next prime is 542142001. The reversal of 542142000 is 241245.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542142001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2941 + ... + 33059.

It is an arithmetic number, because the mean of its divisors is an integer number (15779868).

Almost surely, 2^542142000 is an apocalyptic number.

542142000 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 542142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946792080).

542142000 is an abundant number, since it is smaller than the sum of its proper divisors (1351442160).

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

542142000 is a wasteful number, since it uses less digits than its factorization.

542142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30148 (or 30129 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 542142000 is about 23283.9429650564. The cubic root of 542142000 is about 815.4005834337.

Adding to 542142000 its reverse (241245), we get a palindrome (542383245).

The spelling of 542142000 in words is "five hundred forty-two million, one hundred forty-two thousand".