142318080 has 320 divisors, whose sum is σ = 530323200. Its totient is φ = 36126720.

The previous prime is 142318049. The next prime is 142318081. The reversal of 142318080 is 80813241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142318081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004445 + ... + 2004515.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^142318080 is an apocalyptic number.

142318080 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 142318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

142318080 is an abundant number, since it is smaller than the sum of its proper divisors (388005120).

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

142318080 is an equidigital number, since it uses as much as digits as its factorization.

142318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 142318080 is about 11929.7141625439. The cubic root of 142318080 is about 522.0995978537.

It can be divided in two parts, 1423 and 18080, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 142318080 in words is "one hundred forty-two million, three hundred eighteen thousand, eighty".