13139159040 has 960 divisors, whose sum is σ = 56319943680. Its totient is φ = 2866544640.

The previous prime is 13139159029. The next prime is 13139159041. The reversal of 13139159040 is 4095193131.

13139159040 is a `hidden beast` number, since 1 + 31 + 39 + 1 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 13139158986 and 13139159004.

It is not an unprimeable number, because it can be changed into a prime (13139159041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179988444 + ... + 179988516.

It is an arithmetic number, because the mean of its divisors is an integer number (58666608).

Almost surely, 2^13139159040 is an apocalyptic number.

13139159040 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 13139159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28159971840).

13139159040 is an abundant number, since it is smaller than the sum of its proper divisors (43180784640).

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

13139159040 is an equidigital number, since it uses as much as digits as its factorization.

13139159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 13139159040 in words is "thirteen billion, one hundred thirty-nine million, one hundred fifty-nine thousand, forty".