13746528 has 72 divisors (see below), whose sum is σ = 39803400. Its totient is φ = 4498944.

The previous prime is 13746503. The next prime is 13746581. The reversal of 13746528 is 82564731.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 13746492 and 13746501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16588 + ... + 17396.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 2^13746528 is an apocalyptic number.

13746528 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 13746528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901700).

13746528 is an abundant number, since it is smaller than the sum of its proper divisors (26056872).

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

13746528 is a wasteful number, since it uses less digits than its factorization.

13746528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 873 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13746528 is about 3707.6310496057. The cubic root of 13746528 is about 239.5508265378.

It can be divided in two parts, 137 and 46528, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 13746528 in words is "thirteen million, seven hundred forty-six thousand, five hundred twenty-eight".