142960849920 has 1584 divisors, whose sum is σ = 640830348288. Its totient is φ = 28736225280.

The previous prime is 142960849907. The next prime is 142960849961. The reversal of 142960849920 is 29948069241.

142960849920 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 608 + 4 + 9 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4611640305 + ... + 4611640335.

Almost surely, 2^142960849920 is an apocalyptic number.

142960849920 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 142960849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320415174144).

142960849920 is an abundant number, since it is smaller than the sum of its proper divisors (497869498368).

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

142960849920 is a wasteful number, since it uses less digits than its factorization.

142960849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 142960849920 in words is "one hundred forty-two billion, nine hundred sixty million, eight hundred forty-nine thousand, nine hundred twenty".