15146768 has 80 divisors (see below), whose sum is σ = 36830976. Its totient is φ = 5875200.

The previous prime is 15146767. The next prime is 15146771. The reversal of 15146768 is 86764151.

15146768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15146767) 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, 147005 + ... + 147107.

Almost surely, 2^15146768 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 15146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415488).

15146768 is an abundant number, since it is smaller than the sum of its proper divisors (21684208).

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

15146768 is a wasteful number, since it uses less digits than its factorization.

15146768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 15146768 is about 3891.8848903841. The cubic root of 15146768 is about 247.4229559876.

The spelling of 15146768 in words is "fifteen million, one hundred forty-six thousand, seven hundred sixty-eight".