142581984 has 48 divisors (see below), whose sum is σ = 376104960. Its totient is φ = 47295360.

The previous prime is 142581983. The next prime is 142581997. The reversal of 142581984 is 489185241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×142581984² = 40659244322752512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142581983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16737 + ... + 23775.

It is an arithmetic number, because the mean of its divisors is an integer number (7835520).

Almost surely, 2^142581984 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 142581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188052480).

142581984 is an abundant number, since it is smaller than the sum of its proper divisors (233522976).

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

142581984 is a wasteful number, since it uses less digits than its factorization.

142581984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263 (or 7255 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 142581984 is about 11940.7698244292. The cubic root of 142581984 is about 522.4221127311.

The spelling of 142581984 in words is "one hundred forty-two million, five hundred eighty-one thousand, nine hundred eighty-four".