142836768 has 72 divisors (see below), whose sum is σ = 410459868. Its totient is φ = 47112192.

The previous prime is 142836763. The next prime is 142836769. The reversal of 142836768 is 867638241.

It can be written as a sum of positive squares in 2 ways, for example, as 124277904 + 18558864 = 11148^2 + 4308^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142836763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25380 + ... + 30492.

Almost surely, 2^142836768 is an apocalyptic number.

142836768 is a gapful number since it is divisible by the number (18) 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 142836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205229934).

142836768 is an abundant number, since it is smaller than the sum of its proper divisors (267623100).

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

142836768 is a wasteful number, since it uses less digits than its factorization.

142836768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5215 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 142836768 is about 11951.4337215248. The cubic root of 142836768 is about 522.7331047827.

The spelling of 142836768 in words is "one hundred forty-two million, eight hundred thirty-six thousand, seven hundred sixty-eight".