142132200 has 192 divisors, whose sum is σ = 515919360. Its totient is φ = 31691520.

The previous prime is 142132187. The next prime is 142132229. The reversal of 142132200 is 2231241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142132200.

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 47 ways as a sum of consecutive naturals, for example, 180207 + ... + 180993.

It is an arithmetic number, because the mean of its divisors is an integer number (2687080).

Almost surely, 2^142132200 is an apocalyptic number.

142132200 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 142132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257959680).

142132200 is an abundant number, since it is smaller than the sum of its proper divisors (373787160).

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

142132200 is a wasteful number, since it uses less digits than its factorization.

142132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 142132200 is about 11921.9209861498. The cubic root of 142132200 is about 521.8721960718.

Adding to 142132200 its reverse (2231241), we get a palindrome (144363441).

The spelling of 142132200 in words is "one hundred forty-two million, one hundred thirty-two thousand, two hundred".