142825200 has 240 divisors, whose sum is σ = 535084800. Its totient is φ = 32551680.

The previous prime is 142825187. The next prime is 142825213. The reversal of 142825200 is 2528241.

It is an interprime number because it is at equal distance from previous prime (142825187) and next prime (142825213).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411427 + ... + 411773.

It is an arithmetic number, because the mean of its divisors is an integer number (2229520).

Almost surely, 2^142825200 is an apocalyptic number.

142825200 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 142825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267542400).

142825200 is an abundant number, since it is smaller than the sum of its proper divisors (392259600).

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

142825200 is a wasteful number, since it uses less digits than its factorization.

142825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 142825200 is about 11950.9497530531. The cubic root of 142825200 is about 522.7189927771.

The spelling of 142825200 in words is "one hundred forty-two million, eight hundred twenty-five thousand, two hundred".