10140135320 has 64 divisors (see below), whose sum is σ = 26629447680. Its totient is φ = 3402642816.

The previous prime is 10140135319. The next prime is 10140135337. The reversal of 10140135320 is 2353104101.

10140135320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10140135292 and 10140135301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372104 + ... + 398423.

It is an arithmetic number, because the mean of its divisors is an integer number (416085120).

Almost surely, 2^10140135320 is an apocalyptic number.

10140135320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140135320 is an abundant number, since it is smaller than the sum of its proper divisors (16489312360).

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

10140135320 is a wasteful number, since it uses less digits than its factorization.

10140135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770592 (or 770588 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10140135320 its reverse (2353104101), we get a palindrome (12493239421).

The spelling of 10140135320 in words is "ten billion, one hundred forty million, one hundred thirty-five thousand, three hundred twenty".