142202000 has 80 divisors (see below), whose sum is σ = 347863152. Its totient is φ = 56217600.

The previous prime is 142201999. The next prime is 142202057. The reversal of 142202000 is 202241.

142202000 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 8 ways, for example, as 13424896 + 128777104 = 3664^2 + 11348^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 193634 + ... + 194366.

Almost surely, 2^142202000 is an apocalyptic number.

142202000 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 142202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173931576).

142202000 is an abundant number, since it is smaller than the sum of its proper divisors (205661152).

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

142202000 is an equidigital number, since it uses as much as digits as its factorization.

142202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 142202000 is about 11924.8480074171. The cubic root of 142202000 is about 521.9576111946.

Adding to 142202000 its reverse (202241), we get a palindrome (142404241).

The spelling of 142202000 in words is "one hundred forty-two million, two hundred two thousand".