140224133000000 has 588 divisors, whose sum is σ = 405084730474080. Its totient is φ = 48019708800000.

The previous prime is 140224132999999. The next prime is 140224133000033. The reversal of 140224133000000 is 331422041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 74626999061 + ... + 74627000939.

Almost surely, 2^{140224133000000} is an apocalyptic number.

140224133000000 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 140224133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202542365237040).

140224133000000 is an abundant number, since it is smaller than the sum of its proper divisors (264860597474080).

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

140224133000000 is an frugal number, since it uses more digits than its factorization.

140224133000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 140224133000000 its reverse (331422041), we get a palindrome (140224464422041).

The spelling of 140224133000000 in words is "one hundred forty trillion, two hundred twenty-four billion, one hundred thirty-three million", and thus it is an aban number.