13278540 has 144 divisors (see below), whose sum is σ = 42900480. Its totient is φ = 3062400.

The previous prime is 13278497. The next prime is 13278563. The reversal of 13278540 is 4587231.

13278540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 13278498 and 13278507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225031 + ... + 225089.

It is an arithmetic number, because the mean of its divisors is an integer number (297920).

Almost surely, 2^13278540 is an apocalyptic number.

13278540 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 13278540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

13278540 is an abundant number, since it is smaller than the sum of its proper divisors (29621940).

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

13278540 is a wasteful number, since it uses less digits than its factorization.

13278540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13278540 is about 3643.9731063772. The cubic root of 13278540 is about 236.8009509260.

The spelling of 13278540 in words is "thirteen million, two hundred seventy-eight thousand, five hundred forty".