142241520960 has 2240 divisors, whose sum is σ = 691116687360. Its totient is φ = 27097804800.

The previous prime is 142241520937. The next prime is 142241520973. The reversal of 142241520960 is 69025142241.

It is a happy number.

142241520960 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 41 + 520 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4588436145 + ... + 4588436175.

Almost surely, 2^142241520960 is an apocalyptic number.

142241520960 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 142241520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345558343680).

142241520960 is an abundant number, since it is smaller than the sum of its proper divisors (548875166400).

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

142241520960 is a wasteful number, since it uses less digits than its factorization.

142241520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 142241520960 in words is "one hundred forty-two billion, two hundred forty-one million, five hundred twenty thousand, nine hundred sixty".