140032134020000 has 240 divisors, whose sum is σ = 347057247537000. Its totient is φ = 55597608960000.

The previous prime is 140032134019991. The next prime is 140032134020027. The reversal of 140032134020000 is 20431230041.

It can be written as a sum of positive squares in 20 ways, for example, as 51343129129744 + 88689004890256 = 7165412^2 + 9417484^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4413364136 + ... + 4413395864.

Almost surely, 2^{140032134020000} is an apocalyptic number.

140032134020000 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 140032134020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173528623768500).

140032134020000 is an abundant number, since it is smaller than the sum of its proper divisors (207025113517000).

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

140032134020000 is a wasteful number, since it uses less digits than its factorization.

140032134020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33389 (or 33366 counting only the distinct ones).

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

Adding to 140032134020000 its reverse (20431230041), we get a palindrome (140052565250041).

The spelling of 140032134020000 in words is "one hundred forty trillion, thirty-two billion, one hundred thirty-four million, twenty thousand".