142729824 has 96 divisors (see below), whose sum is σ = 417674880. Its totient is φ = 42412032.

The previous prime is 142729823. The next prime is 142729861. The reversal of 142729824 is 428927241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142729823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28707 + ... + 33309.

It is an arithmetic number, because the mean of its divisors is an integer number (4350780).

Almost surely, 2^142729824 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 142729824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208837440).

142729824 is an abundant number, since it is smaller than the sum of its proper divisors (274945056).

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

142729824 is a wasteful number, since it uses less digits than its factorization.

142729824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4644 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 142729824 is about 11946.9587761907. The cubic root of 142729824 is about 522.6026128756.

The spelling of 142729824 in words is "one hundred forty-two million, seven hundred twenty-nine thousand, eight hundred twenty-four".