142009908480 has 288 divisors, whose sum is σ = 549751950720. Its totient is φ = 34426552320.

The previous prime is 142009908431. The next prime is 142009908487. The reversal of 142009908480 is 84809900241.

142009908480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142009908487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193384 + ... + 566936.

It is an arithmetic number, because the mean of its divisors is an integer number (1908860940).

Almost surely, 2^142009908480 is an apocalyptic number.

142009908480 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 142009908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274875975360).

142009908480 is an abundant number, since it is smaller than the sum of its proper divisors (407742042240).

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

142009908480 is a wasteful number, since it uses less digits than its factorization.

142009908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373594 (or 373574 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 142009908480 in words is "one hundred forty-two billion, nine million, nine hundred eight thousand, four hundred eighty".