142249824 has 192 divisors, whose sum is σ = 441262080. Its totient is φ = 44513280.

The previous prime is 142249823. The next prime is 142249841. The reversal of 142249824 is 428942241.

142249824 is a `hidden beast` number, since 142 + 2 + 498 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142249823) 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 31 ways as a sum of consecutive naturals, for example, 1258792 + ... + 1258904.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^142249824 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 142249824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

142249824 is an abundant number, since it is smaller than the sum of its proper divisors (299012256).

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

142249824 is a wasteful number, since it uses less digits than its factorization.

142249824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 142249824 is about 11926.8530635705. The cubic root of 142249824 is about 522.0161178799.

The spelling of 142249824 in words is "one hundred forty-two million, two hundred forty-nine thousand, eight hundred twenty-four".