13182521040 has 640 divisors, whose sum is σ = 50871744000. Its totient is φ = 3117367296.

The previous prime is 13182520999. The next prime is 13182521057. The reversal of 13182521040 is 4012528131.

13182521040 is a `hidden beast` number, since 131 + 8 + 2 + 521 + 0 + 4 + 0 = 666.

13182521040 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 13182520995 and 13182521013.

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 127 ways as a sum of consecutive naturals, for example, 120940506 + ... + 120940614.

It is an arithmetic number, because the mean of its divisors is an integer number (79487100).

Almost surely, 2^13182521040 is an apocalyptic number.

13182521040 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 13182521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25435872000).

13182521040 is an abundant number, since it is smaller than the sum of its proper divisors (37689222960).

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

13182521040 is a wasteful number, since it uses less digits than its factorization.

13182521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 13182521040 in words is "thirteen billion, one hundred eighty-two million, five hundred twenty-one thousand, forty".