13149125760 has 256 divisors, whose sum is σ = 44021698560. Its totient is φ = 3332026368.

The previous prime is 13149125747. The next prime is 13149125761. The reversal of 13149125760 is 6752194131.

It is not an unprimeable number, because it can be changed into a prime (13149125761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7373829 + ... + 7375611.

It is an arithmetic number, because the mean of its divisors is an integer number (171959760).

Almost surely, 2^13149125760 is an apocalyptic number.

13149125760 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 13149125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010849280).

13149125760 is an abundant number, since it is smaller than the sum of its proper divisors (30872572800).

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

13149125760 is a wasteful number, since it uses less digits than its factorization.

13149125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 13149125760 in words is "thirteen billion, one hundred forty-nine million, one hundred twenty-five thousand, seven hundred sixty".