13525920 has 192 divisors, whose sum is σ = 49351680. Its totient is φ = 3456000.

The previous prime is 13525913. The next prime is 13525921. The reversal of 13525920 is 2952531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 133870 + ... + 133970.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^13525920 is an apocalyptic number.

13525920 is a gapful number since it is divisible by the number (10) 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 13525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

13525920 is an abundant number, since it is smaller than the sum of its proper divisors (35825760).

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

13525920 is a wasteful number, since it uses less digits than its factorization.

13525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13525920 is about 3677.7601879405. The cubic root of 13525920 is about 238.2624508702.

The spelling of 13525920 in words is "thirteen million, five hundred twenty-five thousand, nine hundred twenty".