15130656 has 72 divisors (see below), whose sum is σ = 43518384. Its totient is φ = 4986240.

The previous prime is 15130613. The next prime is 15130657. The reversal of 15130656 is 65603151.

It is a happy number.

15130656 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×15130656⁴ (a number of 30 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (15130657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30571 + ... + 31061.

It is an arithmetic number, because the mean of its divisors is an integer number (604422).

Almost surely, 2^15130656 is an apocalyptic number.

15130656 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 15130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759192).

15130656 is an abundant number, since it is smaller than the sum of its proper divisors (28387728).

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

15130656 is a wasteful number, since it uses less digits than its factorization.

15130656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 15130656 is about 3889.8143914588. The cubic root of 15130656 is about 247.3351948448.

The spelling of 15130656 in words is "fifteen million, one hundred thirty thousand, six hundred fifty-six".