142080480 has 240 divisors, whose sum is σ = 528731280. Its totient is φ = 35831808.

The previous prime is 142080451. The next prime is 142080487. The reversal of 142080480 is 84080241.

It is a tau number, because it is divible by the number of its divisors (240).

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 (142080487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245952 + ... + 246528.

It is an arithmetic number, because the mean of its divisors is an integer number (2203047).

Almost surely, 2^142080480 is an apocalyptic number.

142080480 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 142080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264365640).

142080480 is an abundant number, since it is smaller than the sum of its proper divisors (386650800).

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

142080480 is a wasteful number, since it uses less digits than its factorization.

142080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 142080480 is about 11919.7516752657. The cubic root of 142080480 is about 521.8088876295.

The spelling of 142080480 in words is "one hundred forty-two million, eighty thousand, four hundred eighty".