142800084 has 120 divisors (see below), whose sum is σ = 432579840. Its totient is φ = 40233024.

The previous prime is 142800083. The next prime is 142800103. The reversal of 142800084 is 480008241.

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 (142800083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178774 + ... + 179570.

It is an arithmetic number, because the mean of its divisors is an integer number (3604832).

Almost surely, 2^142800084 is an apocalyptic number.

142800084 is a gapful number since it is divisible by the number (14) 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 142800084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216289920).

142800084 is an abundant number, since it is smaller than the sum of its proper divisors (289779756).

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

142800084 is a wasteful number, since it uses less digits than its factorization.

142800084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

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

The square root of 142800084 is about 11949.8989117063. The cubic root of 142800084 is about 522.6883507059.

The spelling of 142800084 in words is "one hundred forty-two million, eight hundred thousand, eighty-four".