142408800 has 288 divisors, whose sum is σ = 543715200. Its totient is φ = 35873280.

The previous prime is 142408787. The next prime is 142408807. The reversal of 142408800 is 8804241.

142408800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142408807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410227 + ... + 410573.

It is an arithmetic number, because the mean of its divisors is an integer number (1887900).

Almost surely, 2^142408800 is an apocalyptic number.

142408800 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 142408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271857600).

142408800 is an abundant number, since it is smaller than the sum of its proper divisors (401306400).

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

142408800 is a wasteful number, since it uses less digits than its factorization.

142408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

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

The square root of 142408800 is about 11933.5158272824. The cubic root of 142408800 is about 522.2105109457.

The spelling of 142408800 in words is "one hundred forty-two million, four hundred eight thousand, eight hundred".