140825762352 has 320 divisors, whose sum is σ = 458027827200. Its totient is φ = 41054757120.

The previous prime is 140825762321. The next prime is 140825762353. The reversal of 140825762352 is 253267528041.

140825762352 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 2 + 576 + 23 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140825762298 and 140825762307.

It is not an unprimeable number, because it can be changed into a prime (140825762353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13171953 + ... + 13182639.

It is an arithmetic number, because the mean of its divisors is an integer number (1431336960).

Almost surely, 2^140825762352 is an apocalyptic number.

140825762352 is a gapful number since it is divisible by the number (12) 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 140825762352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229013913600).

140825762352 is an abundant number, since it is smaller than the sum of its proper divisors (317202064848).

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

140825762352 is a wasteful number, since it uses less digits than its factorization.

140825762352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 140825762352 in words is "one hundred forty billion, eight hundred twenty-five million, seven hundred sixty-two thousand, three hundred fifty-two".