140212800 has 504 divisors, whose sum is σ = 619085376. Its totient is φ = 29306880.

The previous prime is 140212789. The next prime is 140212801. The reversal of 140212800 is 8212041.

140212800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (140212801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310347 + ... + 1310453.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^140212800 is an apocalyptic number.

140212800 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 140212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

140212800 is an abundant number, since it is smaller than the sum of its proper divisors (478872576).

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

140212800 is a wasteful number, since it uses less digits than its factorization.

140212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140212800 is about 11841.1485929364. The cubic root of 140212800 is about 519.5123633683.

Adding to 140212800 its reverse (8212041), we get a palindrome (148424841).

The spelling of 140212800 in words is "one hundred forty million, two hundred twelve thousand, eight hundred".