13851540 has 96 divisors (see below), whose sum is σ = 43666560. Its totient is φ = 3644928.

The previous prime is 13851527. The next prime is 13851553. The reversal of 13851540 is 4515831.

It is an interprime number because it is at equal distance from previous prime (13851527) and next prime (13851553).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 60907 + ... + 61133.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 2^13851540 is an apocalyptic number.

13851540 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 13851540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833280).

13851540 is an abundant number, since it is smaller than the sum of its proper divisors (29815020).

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

13851540 is a wasteful number, since it uses less digits than its factorization.

13851540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13851540 is about 3721.7657099823. The cubic root of 13851540 is about 240.1592692820.

The spelling of 13851540 in words is "thirteen million, eight hundred fifty-one thousand, five hundred forty".