15138648 has 96 divisors (see below), whose sum is σ = 47892000. Its totient is φ = 4318272.

The previous prime is 15138647. The next prime is 15138677. The reversal of 15138648 is 84683151.

15138648 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 8 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15138647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24390 + ... + 25002.

It is an arithmetic number, because the mean of its divisors is an integer number (498875).

Almost surely, 2^15138648 is an apocalyptic number.

15138648 is a gapful number since it is divisible by the number (18) 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 15138648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23946000).

15138648 is an abundant number, since it is smaller than the sum of its proper divisors (32753352).

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

15138648 is a wasteful number, since it uses less digits than its factorization.

15138648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 15138648 is about 3890.8415542142. The cubic root of 15138648 is about 247.3787345950.

It can be divided in two parts, 15138 and 648, that multiplied together give a square (9809424 = 3132²).

The spelling of 15138648 in words is "fifteen million, one hundred thirty-eight thousand, six hundred forty-eight".