142259200 has 66 divisors (see below), whose sum is σ = 352694006. Its totient is φ = 56893440.

The previous prime is 142259197. The next prime is 142259231. The reversal of 142259200 is 2952241.

142259200 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 3 ways, for example, as 35426304 + 106832896 = 5952^2 + 10336^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22822 + ... + 28378.

Almost surely, 2^142259200 is an apocalyptic number.

142259200 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 142259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176347003).

142259200 is an abundant number, since it is smaller than the sum of its proper divisors (210434806).

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

142259200 is an equidigital number, since it uses as much as digits as its factorization.

142259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 142259200 is about 11927.2461197042. The cubic root of 142259200 is about 522.0275867063.

The spelling of 142259200 in words is "one hundred forty-two million, two hundred fifty-nine thousand, two hundred".