140542120224 has 480 divisors, whose sum is σ = 482532240960. Its totient is φ = 39676262400.

The previous prime is 140542120223. The next prime is 140542120237. The reversal of 140542120224 is 422021245041.

It is a happy number.

140542120224 is a `hidden beast` number, since 14 + 0 + 5 + 421 + 2 + 0 + 224 = 666.

140542120224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140542120223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33043282 + ... + 33047534.

It is an arithmetic number, because the mean of its divisors is an integer number (1005275502).

Almost surely, 2^140542120224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140542120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241266120480).

140542120224 is an abundant number, since it is smaller than the sum of its proper divisors (341990120736).

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

140542120224 is a wasteful number, since it uses less digits than its factorization.

140542120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 140542120224 its reverse (422021245041), we get a palindrome (562563365265).

The spelling of 140542120224 in words is "one hundred forty billion, five hundred forty-two million, one hundred twenty thousand, two hundred twenty-four".