142545984 has 112 divisors (see below), whose sum is σ = 437741568. Its totient is φ = 40094208.

The previous prime is 142545983. The next prime is 142546013. The reversal of 142545984 is 489545241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (142545983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89257 + ... + 90839.

Almost surely, 2^142545984 is an apocalyptic number.

142545984 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 142545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218870784).

142545984 is an abundant number, since it is smaller than the sum of its proper divisors (295195584).

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

142545984 is a wasteful number, since it uses less digits than its factorization.

142545984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1662 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 142545984 is about 11939.2622887681. The cubic root of 142545984 is about 522.3781408850.

The spelling of 142545984 in words is "one hundred forty-two million, five hundred forty-five thousand, nine hundred eighty-four".