15138 has 18 divisors (see below), whose sum is σ = 33969. Its totient is φ = 4872.

The previous prime is 15137. The next prime is 15139. The reversal of 15138 is 83151.

It is a happy number.

15138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15137) and next prime (15139).

It can be written as a sum of positive squares in 2 ways, for example, as 15129 + 9 = 123^2 + 3^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=87.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 15138.

It is not an unprimeable number, because it can be changed into a prime (15131) 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 8 ways as a sum of consecutive naturals, for example, 508 + ... + 536.

2¹⁵¹³⁸ is an apocalyptic number.

15138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15138

15138 is an abundant number, since it is smaller than the sum of its proper divisors (18831).

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

15138 is a wasteful number, since it uses less digits than its factorization.

15138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 15138 is about 123.0365799265. The cubic root of 15138 is about 24.7375204916.

Multiplying 15138 by its sum of digits (18), we get a square (272484 = 522²).

15138 divided by its sum of digits (18) gives a square (841 = 29²).

Adding to 15138 its reverse (83151), we get a palindrome (98289).

It can be divided in two parts, 1513 and 8, that added together give a square (1521 = 39²).

The spelling of 15138 in words is "fifteen thousand, one hundred thirty-eight".