140801687520 has 768 divisors, whose sum is σ = 511283404800. Its totient is φ = 32520683520.

The previous prime is 140801687513. The next prime is 140801687531. The reversal of 140801687520 is 25786108041.

140801687520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1928790204 + ... + 1928790276.

It is an arithmetic number, because the mean of its divisors is an integer number (665733600).

Almost surely, 2^140801687520 is an apocalyptic number.

140801687520 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 140801687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255641702400).

140801687520 is an abundant number, since it is smaller than the sum of its proper divisors (370481717280).

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

140801687520 is a wasteful number, since it uses less digits than its factorization.

140801687520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 140801687520 in words is "one hundred forty billion, eight hundred one million, six hundred eighty-seven thousand, five hundred twenty".