140252958720 has 936 divisors, whose sum is σ = 578159244936. Its totient is φ = 31345606656.

The previous prime is 140252958623. The next prime is 140252958751. The reversal of 140252958720 is 27859252041.

140252958720 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 529 + 58 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59833073664 + 80419885056 = 244608^2 + 283584^2 .

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

It is a congruent number.

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, 478678894 + ... + 478679186.

It is an arithmetic number, because the mean of its divisors is an integer number (617691501).

Almost surely, 2^140252958720 is an apocalyptic number.

140252958720 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 140252958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289079622468).

140252958720 is an abundant number, since it is smaller than the sum of its proper divisors (437906286216).

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

140252958720 is a wasteful number, since it uses less digits than its factorization.

140252958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 140252958720 in words is "one hundred forty billion, two hundred fifty-two million, nine hundred fifty-eight thousand, seven hundred twenty".