142195200 has 360 divisors, whose sum is σ = 561193248. Its totient is φ = 31088640.

The previous prime is 142195199. The next prime is 142195231. The reversal of 142195200 is 2591241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6182389 + ... + 6182411.

Almost surely, 2^142195200 is an apocalyptic number.

142195200 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 142195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280596624).

142195200 is an abundant number, since it is smaller than the sum of its proper divisors (418998048).

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

142195200 is an equidigital number, since it uses as much as digits as its factorization.

142195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 142195200 is about 11924.5628850705. The cubic root of 142195200 is about 521.9492911796.

The spelling of 142195200 in words is "one hundred forty-two million, one hundred ninety-five thousand, two hundred".