142800 has 120 divisors (see below), whose sum is σ = 553536. Its totient is φ = 30720.

The previous prime is 142799. The next prime is 142811. The reversal of 142800 is 8241.

142800 = 13² + 14² + ... + 75².

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8392 + ... + 8408.

2¹⁴²⁸⁰⁰ is an apocalyptic number.

142800 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 142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768).

142800 is an abundant number, since it is smaller than the sum of its proper divisors (410736).

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

142800 is a wasteful number, since it uses less digits than its factorization.

142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 142800 is about 377.8888725538. Note that the first 4 decimals coincide. The cubic root of 142800 is about 52.2688248218.

The spelling of 142800 in words is "one hundred forty-two thousand, eight hundred".