15132768 has 72 divisors (see below), whose sum is σ = 46223352. Its totient is φ = 4322304.

The previous prime is 15132749. The next prime is 15132773. The reversal of 15132768 is 86723151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3096 + ... + 6312.

It is an arithmetic number, because the mean of its divisors is an integer number (641991).

Almost surely, 2^15132768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23111676).

15132768 is an abundant number, since it is smaller than the sum of its proper divisors (31090584).

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

15132768 is a wasteful number, since it uses less digits than its factorization.

15132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3229 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 15132768 is about 3890.0858602350. The cubic root of 15132768 is about 247.3467023350.

The spelling of 15132768 in words is "fifteen million, one hundred thirty-two thousand, seven hundred sixty-eight".