13145513472 has 960 divisors, whose sum is σ = 51476705280. Its totient is φ = 3133734912.

The previous prime is 13145513399. The next prime is 13145513473. The reversal of 13145513472 is 27431554131.

13145513472 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 551 + 34 + 72 = 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 (13145513473) 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 95 ways as a sum of consecutive naturals, for example, 279691753 + ... + 279691799.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^13145513472 is an apocalyptic number.

13145513472 is a gapful number since it is divisible by the number (12) 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 13145513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

13145513472 is an abundant number, since it is smaller than the sum of its proper divisors (38331191808).

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

13145513472 is a wasteful number, since it uses less digits than its factorization.

13145513472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The spelling of 13145513472 in words is "thirteen billion, one hundred forty-five million, five hundred thirteen thousand, four hundred seventy-two".