140896800 has 288 divisors, whose sum is σ = 556839360. Its totient is φ = 34099200.

The previous prime is 140896759. The next prime is 140896801. The reversal of 140896800 is 8698041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140896801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237304 + ... + 237896.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^140896800 is an apocalyptic number.

140896800 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 140896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278419680).

140896800 is an abundant number, since it is smaller than the sum of its proper divisors (415942560).

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

140896800 is a wasteful number, since it uses less digits than its factorization.

140896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 140896800 is about 11869.9957876993. The cubic root of 140896800 is about 520.3557723122.

The spelling of 140896800 in words is "one hundred forty million, eight hundred ninety-six thousand, eight hundred".