142089984 has 144 divisors (see below), whose sum is σ = 428340640. Its totient is φ = 46448640.

The previous prime is 142089973. The next prime is 142089989. The reversal of 142089984 is 489980241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142089989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421464 + ... + 421800.

Almost surely, 2^142089984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214170320).

142089984 is an abundant number, since it is smaller than the sum of its proper divisors (286250656).

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

142089984 is an equidigital number, since it uses as much as digits as its factorization.

142089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 142089984 is about 11920.1503346225. The cubic root of 142089984 is about 521.8205222587.

The spelling of 142089984 in words is "one hundred forty-two million, eighty-nine thousand, nine hundred eighty-four".