142228000 has 144 divisors (see below), whose sum is σ = 370849752. Its totient is φ = 53568000.

The previous prime is 142227989. The next prime is 142228003. The reversal of 142228000 is 822241.

142228000 = 31³ + 32³ + ... + 154³.

142228000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73205136 + 69022864 = 8556^2 + 8308^2 .

It is not an unprimeable number, because it can be changed into a prime (142228003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3843982 + ... + 3844018.

Almost surely, 2^142228000 is an apocalyptic number.

142228000 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 142228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185424876).

142228000 is an abundant number, since it is smaller than the sum of its proper divisors (228621752).

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

142228000 is an equidigital number, since it uses as much as digits as its factorization.

142228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 142228000 is about 11925.9381182362. The cubic root of 142228000 is about 521.9894205711.

It can be divided in two parts, 14222 and 8000, that added together give a palindrome (22222).

The spelling of 142228000 in words is "one hundred forty-two million, two hundred twenty-eight thousand".