13187540 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 5040000.

The previous prime is 13187519. The next prime is 13187557. The reversal of 13187540 is 4578131.

13187540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13187540² = 347822422503200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52415 + ... + 52665.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^13187540 is an apocalyptic number.

13187540 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 13187540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

13187540 is an abundant number, since it is smaller than the sum of its proper divisors (15770284).

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

13187540 is a wasteful number, since it uses less digits than its factorization.

13187540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 13187540 is about 3631.4652690064. The cubic root of 13187540 is about 236.2587652935.

The spelling of 13187540 in words is "thirteen million, one hundred eighty-seven thousand, five hundred forty".