142828200 has 72 divisors (see below), whose sum is σ = 479670750. Its totient is φ = 38087040.

The previous prime is 142828193. The next prime is 142828207. The reversal of 142828200 is 2828241.

It is an interprime number because it is at equal distance from previous prime (142828193) and next prime (142828207).

It can be written as a sum of positive squares in 3 ways, for example, as 63011844 + 79816356 = 7938^2 + 8934^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (142828207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37875 + ... + 41474.

Almost surely, 2^142828200 is an apocalyptic number.

142828200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142828200 is an abundant number, since it is smaller than the sum of its proper divisors (336842550).

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

142828200 is a wasteful number, since it uses less digits than its factorization.

142828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79371 (or 79359 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 142828200 is about 11951.0752654311. The cubic root of 142828200 is about 522.7226526028.

The spelling of 142828200 in words is "one hundred forty-two million, eight hundred twenty-eight thousand, two hundred".