142428000 has 384 divisors, whose sum is σ = 554770944. Its totient is φ = 31488000.

The previous prime is 142427977. The next prime is 142428031. The reversal of 142428000 is 824241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1715959 + ... + 1716041.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 2^142428000 is an apocalyptic number.

142428000 is a gapful number since it is divisible by the number (10) 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 142428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

142428000 is an abundant number, since it is smaller than the sum of its proper divisors (412342944).

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

142428000 is a wasteful number, since it uses less digits than its factorization.

142428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 142428000 is about 11934.3202571407. The cubic root of 142428000 is about 522.2339785761.

The spelling of 142428000 in words is "one hundred forty-two million, four hundred twenty-eight thousand".