142251200 has 168 divisors, whose sum is σ = 431243232. Its totient is φ = 44974080.

The previous prime is 142251191. The next prime is 142251209. The reversal of 142251200 is 2152241.

It is an interprime number because it is at equal distance from previous prime (142251191) and next prime (142251209).

It is not an unprimeable number, because it can be changed into a prime (142251209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 145112 + ... + 146088.

It is an arithmetic number, because the mean of its divisors is an integer number (2566924).

Almost surely, 2^142251200 is an apocalyptic number.

142251200 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 142251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215621616).

142251200 is an abundant number, since it is smaller than the sum of its proper divisors (288992032).

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

142251200 is a wasteful number, since it uses less digits than its factorization.

142251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 142251200 is about 11926.9107483874. The cubic root of 142251200 is about 522.0178010498.

The spelling of 142251200 in words is "one hundred forty-two million, two hundred fifty-one thousand, two hundred".