140245056000 has 720 divisors, whose sum is σ = 587725898760. Its totient is φ = 32049561600.

The previous prime is 140245055969. The next prime is 140245056031. The reversal of 140245056000 is 650542041.

140245056000 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 4 + 50 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140245055969) and next prime (140245056031).

It can be written as a sum of positive squares in 4 ways, for example, as 22557636864 + 117687419136 = 150192^2 + 343056^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 28221516 + ... + 28226484.

Almost surely, 2^140245056000 is an apocalyptic number.

140245056000 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 140245056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293862949380).

140245056000 is an abundant number, since it is smaller than the sum of its proper divisors (447480842760).

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

140245056000 is an equidigital number, since it uses as much as digits as its factorization.

140245056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 140245056000 its reverse (650542041), we get a palindrome (140895598041).

The spelling of 140245056000 in words is "one hundred forty billion, two hundred forty-five million, fifty-six thousand".