142884000 has 504 divisors, whose sum is σ = 612294228. Its totient is φ = 32659200.

The previous prime is 142883977. The next prime is 142884011. The reversal of 142884000 is 488241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 46294416 = 9828^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 20411997 + ... + 20412003.

Almost surely, 2^142884000 is an apocalyptic number.

142884000 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 142884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306147114).

142884000 is an abundant number, since it is smaller than the sum of its proper divisors (469410228).

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

142884000 is an frugal number, since it uses more digits than its factorization.

142884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

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

The square root of 142884000 is about 11953.4095554365. The cubic root of 142884000 is about 522.7907160207.

The spelling of 142884000 in words is "one hundred forty-two million, eight hundred eighty-four thousand".