142924824 has 144 divisors (see below), whose sum is σ = 460558800. Its totient is φ = 40730688.

The previous prime is 142924813. The next prime is 142924841. The reversal of 142924824 is 428429241.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367222 + ... + 367610.

It is an arithmetic number, because the mean of its divisors is an integer number (3198325).

Almost surely, 2^142924824 is an apocalyptic number.

142924824 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 142924824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230279400).

142924824 is an abundant number, since it is smaller than the sum of its proper divisors (317633976).

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

142924824 is an frugal number, since it uses more digits than its factorization.

142924824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

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

The square root of 142924824 is about 11955.1170634168. The cubic root of 142924824 is about 522.8405008716.

The spelling of 142924824 in words is "one hundred forty-two million, nine hundred twenty-four thousand, eight hundred twenty-four".