142240560 has 320 divisors, whose sum is σ = 565678080. Its totient is φ = 28707840.

The previous prime is 142240519. The next prime is 142240577. The reversal of 142240560 is 65042241.

It is a super-2 number, since 2×142240560² = 40464753818227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142240560.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 794551 + ... + 794729.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^142240560 is an apocalyptic number.

142240560 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 142240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

142240560 is an abundant number, since it is smaller than the sum of its proper divisors (423437520).

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

142240560 is a wasteful number, since it uses less digits than its factorization.

142240560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 142240560 is about 11926.4646899238. The cubic root of 142240560 is about 522.0047855582.

The spelling of 142240560 in words is "one hundred forty-two million, two hundred forty thousand, five hundred sixty".