13523874 has 128 divisors (see below), whose sum is σ = 37158912. Its totient is φ = 3179520.

The previous prime is 13523869. The next prime is 13523897. The reversal of 13523874 is 47832531.

Its product of digits (20160) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287719 + ... + 287765.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 2^13523874 is an apocalyptic number.

13523874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13523874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579456).

13523874 is an abundant number, since it is smaller than the sum of its proper divisors (23635038).

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

13523874 is a wasteful number, since it uses less digits than its factorization.

13523874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its digits is 20160, while the sum is 33.

The square root of 13523874 is about 3677.4820189907. The cubic root of 13523874 is about 238.2504366645.

The spelling of 13523874 in words is "thirteen million, five hundred twenty-three thousand, eight hundred seventy-four".