13534128 has 90 divisors (see below), whose sum is σ = 39956644. Its totient is φ = 4434912.

The previous prime is 13534049. The next prime is 13534139. The reversal of 13534128 is 82143531.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13534128 is a `hidden beast` number, since 1 + 3 + 534 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime divisors (64).

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 17 ways as a sum of consecutive naturals, for example, 229363 + ... + 229421.

Almost surely, 2^13534128 is an apocalyptic number.

13534128 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 13534128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978322).

13534128 is an abundant number, since it is smaller than the sum of its proper divisors (26422516).

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

13534128 is an frugal number, since it uses more digits than its factorization.

13534128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 64 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13534128 is about 3678.8759152763. The cubic root of 13534128 is about 238.3106364463.

Multiplying 13534128 by its sum of digits (27), we get a square (365421456 = 19116²).

13534128 divided by its sum of digits (27) gives a square (501264 = 708²).

Adding to 13534128 its reverse (82143531), we get a palindrome (95677659).

The spelling of 13534128 in words is "thirteen million, five hundred thirty-four thousand, one hundred twenty-eight".