142581760000 has 255 divisors, whose sum is σ = 362479602991. Its totient is φ = 56066048000.

The previous prime is 142581759973. The next prime is 142581760007. The reversal of 142581760000 is 67185241.

The square root of 142581760000 is 377600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 11178409984 + 131403350016 = 105728^2 + 362496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142581760007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2416639971 + ... + 2416640029.

Almost surely, 2^142581760000 is an apocalyptic number.

142581760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142581760000 is the 377600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142581760000

142581760000 is an abundant number, since it is smaller than the sum of its proper divisors (219897842991).

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

142581760000 is an frugal number, since it uses more digits than its factorization.

142581760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 142581760000 in words is "one hundred forty-two billion, five hundred eighty-one million, seven hundred sixty thousand".