140132813184 has 512 divisors, whose sum is σ = 531188582400. Its totient is φ = 35349405696.

The previous prime is 140132813167. The next prime is 140132813189. The reversal of 140132813184 is 481318231041.

140132813184 is a `hidden beast` number, since 14 + 0 + 1 + 328 + 1 + 318 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140132813189) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7223722 + ... + 7243094.

It is an arithmetic number, because the mean of its divisors is an integer number (1037477700).

Almost surely, 2^140132813184 is an apocalyptic number.

140132813184 is a gapful number since it is divisible by the number (14) 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 140132813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265594291200).

140132813184 is an abundant number, since it is smaller than the sum of its proper divisors (391055769216).

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

140132813184 is a wasteful number, since it uses less digits than its factorization.

140132813184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19439 (or 19421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 140132813184 in words is "one hundred forty billion, one hundred thirty-two million, eight hundred thirteen thousand, one hundred eighty-four".