140152345104000 has 512 divisors, whose sum is σ = 489322832544000. Its totient is φ = 35387729510400.

The previous prime is 140152345103959. The next prime is 140152345104017. The reversal of 140152345104000 is 401543251041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1722727324 + ... + 1722808676.

Almost surely, 2^{140152345104000} is an apocalyptic number.

140152345104000 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 140152345104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244661416272000).

140152345104000 is an abundant number, since it is smaller than the sum of its proper divisors (349170487440000).

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

140152345104000 is a wasteful number, since it uses less digits than its factorization.

140152345104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83293 (or 83271 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 140152345104000 its reverse (401543251041), we get a palindrome (140553888355041).

The spelling of 140152345104000 in words is "one hundred forty trillion, one hundred fifty-two billion, three hundred forty-five million, one hundred four thousand".