140933123136 has 672 divisors, whose sum is σ = 465445693440. Its totient is φ = 40474017792.

The previous prime is 140933123119. The next prime is 140933123141. The reversal of 140933123136 is 631321339041.

It is a happy number.

140933123136 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 331 + 2 + 313 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140933123136.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1028708860 + ... + 1028708996.

It is an arithmetic number, because the mean of its divisors is an integer number (692627520).

Almost surely, 2^140933123136 is an apocalyptic number.

140933123136 is a gapful number since it is divisible by the number (16) 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 140933123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232722846720).

140933123136 is an abundant number, since it is smaller than the sum of its proper divisors (324512570304).

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

140933123136 is a wasteful number, since it uses less digits than its factorization.

140933123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 140933123136 in words is "one hundred forty billion, nine hundred thirty-three million, one hundred twenty-three thousand, one hundred thirty-six".