142724736 has 192 divisors, whose sum is σ = 512366400. Its totient is φ = 37048320.

The previous prime is 142724711. The next prime is 142724737. The reversal of 142724736 is 637427241.

It is a tau number, because it is divible by the number of its divisors (192).

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 self number, because there is not a number n which added to its sum of digits gives 142724736.

It is not an unprimeable number, because it can be changed into a prime (142724737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87900 + ... + 89508.

It is an arithmetic number, because the mean of its divisors is an integer number (2668575).

Almost surely, 2^142724736 is an apocalyptic number.

142724736 is a gapful number since it is divisible by the number (16) 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 142724736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256183200).

142724736 is an abundant number, since it is smaller than the sum of its proper divisors (369641664).

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

142724736 is a wasteful number, since it uses less digits than its factorization.

142724736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1632 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 142724736 is about 11946.7458330710. The cubic root of 142724736 is about 522.5964029291.

The spelling of 142724736 in words is "one hundred forty-two million, seven hundred twenty-four thousand, seven hundred thirty-six".