13742564 has 12 divisors (see below), whose sum is σ = 26235888. Its totient is φ = 6246600.

The previous prime is 13742557. The next prime is 13742581. The reversal of 13742564 is 46524731.

13742564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13742564.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156122 + ... + 156209.

It is an arithmetic number, because the mean of its divisors is an integer number (2186324).

Almost surely, 2^13742564 is an apocalyptic number.

It is an amenable number.

13742564 is a deficient number, since it is larger than the sum of its proper divisors (12493324).

13742564 is a wasteful number, since it uses less digits than its factorization.

13742564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312346 (or 312344 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 13742564 is about 3707.0964379147. The cubic root of 13742564 is about 239.5277984014.

The spelling of 13742564 in words is "thirteen million, seven hundred forty-two thousand, five hundred sixty-four".