15130368 has 144 divisors (see below), whose sum is σ = 49056000. Its totient is φ = 4561920.

The previous prime is 15130363. The next prime is 15130393. The reversal of 15130368 is 86303151.

15130368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15130363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75933 + ... + 76131.

Almost surely, 2^15130368 is an apocalyptic number.

15130368 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 15130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528000).

15130368 is an abundant number, since it is smaller than the sum of its proper divisors (33925632).

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

15130368 is a wasteful number, since it uses less digits than its factorization.

15130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 15130368 is about 3889.7773715214. Note that the first 3 decimals coincide. The cubic root of 15130368 is about 247.3336255586. Note that the first 3 decimals are identical.

The spelling of 15130368 in words is "fifteen million, one hundred thirty thousand, three hundred sixty-eight".