13537920 has 128 divisors (see below), whose sum is σ = 47148480. Its totient is φ = 3276800.

The previous prime is 13537919. The next prime is 13537957. The reversal of 13537920 is 2973531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20800 + ... + 21440.

Almost surely, 2^13537920 is an apocalyptic number.

13537920 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 13537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23574240).

13537920 is an abundant number, since it is smaller than the sum of its proper divisors (33610560).

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

13537920 is a wasteful number, since it uses less digits than its factorization.

13537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13537920 is about 3679.3912539984. The cubic root of 13537920 is about 238.3328910398.

The spelling of 13537920 in words is "thirteen million, five hundred thirty-seven thousand, nine hundred twenty".