142393824 has 72 divisors (see below), whose sum is σ = 407960280. Its totient is φ = 47109888.

The previous prime is 142393813. The next prime is 142393829. The reversal of 142393824 is 428393241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×142393824² = 40552002226685952, which contains 22 as substring.

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 (142393829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38254 + ... + 41810.

It is an arithmetic number, because the mean of its divisors is an integer number (5666115).

Almost surely, 2^142393824 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 142393824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203980140).

142393824 is an abundant number, since it is smaller than the sum of its proper divisors (265566456).

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

142393824 is a wasteful number, since it uses less digits than its factorization.

142393824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3701 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 142393824 is about 11932.8883343472. Note that the first 3 decimals coincide. The cubic root of 142393824 is about 522.1922047297.

The spelling of 142393824 in words is "one hundred forty-two million, three hundred ninety-three thousand, eight hundred twenty-four".