15140 has 12 divisors (see below), whose sum is σ = 31836. Its totient is φ = 6048.

The previous prime is 15139. The next prime is 15149. The reversal of 15140 is 4151.

15140 = T₈₅ + T₈₆ + ... + T₈₈.

15140 is nontrivially palindromic in base 3.

15140 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 7744 = 86^2 + 88^2 .

15140 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (15149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (2653).

2¹⁵¹⁴⁰ is an apocalyptic number.

15140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15140 is an abundant number, since it is smaller than the sum of its proper divisors (16696).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918).

15140 is a wasteful number, since it uses less digits than its factorization.

15140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 15140 is about 123.0447073222. The cubic root of 15140 is about 24.7386098663.

Adding to 15140 its sum of digits (11), we get a palindrome (15151).

Subtracting from 15140 its sum of digits (11), we obtain a square (15129 = 123²).

15140 divided by its product of nonzero digits (20) gives a palindrome (757).

Adding to 15140 its reverse (4151), we get a palindrome (19291).

It can be divided in two parts, 151 and 40, that added together give a palindrome (191).

The spelling of 15140 in words is "fifteen thousand, one hundred forty".