142267680 has 144 divisors (see below), whose sum is σ = 501306624. Its totient is φ = 36702720.

The previous prime is 142267667. The next prime is 142267681. The reversal of 142267680 is 86762241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142267681) 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, 43047 + ... + 46233.

It is an arithmetic number, because the mean of its divisors is an integer number (3481296).

Almost surely, 2^142267680 is an apocalyptic number.

142267680 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 142267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250653312).

142267680 is an abundant number, since it is smaller than the sum of its proper divisors (359038944).

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

142267680 is a wasteful number, since it uses less digits than its factorization.

142267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 142267680 is about 11927.6016030047. The cubic root of 142267680 is about 522.0379591016.

The spelling of 142267680 in words is "one hundred forty-two million, two hundred sixty-seven thousand, six hundred eighty".