15138816 has 136 divisors (see below), whose sum is σ = 50331264. Its totient is φ = 3932160.

The previous prime is 15138793. The next prime is 15138821. The reversal of 15138816 is 61883151.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376251 + ... + 1376261.

Almost surely, 2^15138816 is an apocalyptic number.

15138816 is a gapful number since it is divisible by the number (16) 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 15138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165632).

15138816 is an abundant number, since it is smaller than the sum of its proper divisors (35192448).

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

15138816 is an frugal number, since it uses more digits than its factorization.

15138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 15138816 is about 3890.8631433141. The cubic root of 15138816 is about 247.3796496805.

It can be divided in two parts, 15 and 138816, that added together give a palindrome (138831).

The spelling of 15138816 in words is "fifteen million, one hundred thirty-eight thousand, eight hundred sixteen".