140138009141760 has 3200 divisors, whose sum is σ = 600335918899200. Its totient is φ = 30971581562880.

The previous prime is 140138009141723. The next prime is 140138009141813. The reversal of 140138009141760 is 67141900831041.

140138009141760 is a `hidden beast` number, since 1 + 4 + 0 + 13 + 80 + 0 + 91 + 417 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1103448890817 + ... + 1103448890943.

It is an arithmetic number, because the mean of its divisors is an integer number (187604974656).

Almost surely, 2^{140138009141760} is an apocalyptic number.

140138009141760 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 140138009141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300167959449600).

140138009141760 is an abundant number, since it is smaller than the sum of its proper divisors (460197909757440).

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

140138009141760 is an equidigital number, since it uses as much as digits as its factorization.

140138009141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 140138009141760 in words is "one hundred forty trillion, one hundred thirty-eight billion, nine million, one hundred forty-one thousand, seven hundred sixty".