13145215440 has 160 divisors (see below), whose sum is σ = 46638729216. Its totient is φ = 3000291840.

The previous prime is 13145215429. The next prime is 13145215477. The reversal of 13145215440 is 4451254131.

It is a super-3 number, since 3×13145215440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13145215398 and 13145215407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1242975 + ... + 1253505.

Almost surely, 2^13145215440 is an apocalyptic number.

13145215440 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 13145215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23319364608).

13145215440 is an abundant number, since it is smaller than the sum of its proper divisors (33493513776).

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

13145215440 is a wasteful number, since it uses less digits than its factorization.

13145215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 13145215440 its reverse (4451254131), we get a palindrome (17596469571).

The spelling of 13145215440 in words is "thirteen billion, one hundred forty-five million, two hundred fifteen thousand, four hundred forty".