15135768 has 64 divisors (see below), whose sum is σ = 42624000. Its totient is φ = 4975776.

The previous prime is 15135751. The next prime is 15135779. The reversal of 15135768 is 86753151.

15135768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16621 + ... + 17507.

It is an arithmetic number, because the mean of its divisors is an integer number (666000).

Almost surely, 2^15135768 is an apocalyptic number.

15135768 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 15135768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312000).

15135768 is an abundant number, since it is smaller than the sum of its proper divisors (27488232).

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

15135768 is a wasteful number, since it uses less digits than its factorization.

15135768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 15135768 is about 3890.4714367285. The cubic root of 15135768 is about 247.3630463613.

The spelling of 15135768 in words is "fifteen million, one hundred thirty-five thousand, seven hundred sixty-eight".