142766720 has 64 divisors (see below), whose sum is σ = 350584200. Its totient is φ = 55554048.

The previous prime is 142766719. The next prime is 142766759. The reversal of 142766720 is 27667241.

It can be written as a sum of positive squares in 4 ways, for example, as 142659136 + 107584 = 11944^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20666 + ... + 26694.

Almost surely, 2^142766720 is an apocalyptic number.

142766720 is a gapful number since it is divisible by the number (10) 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 142766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175292100).

142766720 is an abundant number, since it is smaller than the sum of its proper divisors (207817480).

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

142766720 is an equidigital number, since it uses as much as digits as its factorization.

142766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 142766720 is about 11948.5028350836. The cubic root of 142766720 is about 522.6476403366.

The spelling of 142766720 in words is "one hundred forty-two million, seven hundred sixty-six thousand, seven hundred twenty".