142009200 has 210 divisors, whose sum is σ = 512582024. Its totient is φ = 37791360.

The previous prime is 142009193. The next prime is 142009237. The reversal of 142009200 is 2900241.

142009200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142009200² = 40333225769280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 291357 + ... + 291843.

Almost surely, 2^142009200 is an apocalyptic number.

142009200 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 142009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256291012).

142009200 is an abundant number, since it is smaller than the sum of its proper divisors (370572824).

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

142009200 is an equidigital number, since it uses as much as digits as its factorization.

142009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 142009200 is about 11916.7613049855. The cubic root of 142009200 is about 521.7216113683.

Adding to 142009200 its reverse (2900241), we get a palindrome (144909441).

The spelling of 142009200 in words is "one hundred forty-two million, nine thousand, two hundred".