15138976 has 36 divisors (see below), whose sum is σ = 31680558. Its totient is φ = 7119872.

The previous prime is 15138971. The next prime is 15139001. The reversal of 15138976 is 67983151.

It can be written as a sum of positive squares in 3 ways, for example, as 12816400 + 2322576 = 3580^2 + 1524^2 .

It is not an unprimeable number, because it can be changed into a prime (15138971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8430 + ... + 10066.

Almost surely, 2^15138976 is an apocalyptic number.

15138976 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 15138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840279).

15138976 is an abundant number, since it is smaller than the sum of its proper divisors (16541582).

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

15138976 is a wasteful number, since it uses less digits than its factorization.

15138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1656 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The square root of 15138976 is about 3890.8837042502. The cubic root of 15138976 is about 247.3805211843.

The spelling of 15138976 in words is "fifteen million, one hundred thirty-eight thousand, nine hundred seventy-six".