13129920 has 168 divisors, whose sum is σ = 46597824. Its totient is φ = 3391488.

The previous prime is 13129901. The next prime is 13129927. The reversal of 13129920 is 2992131.

It is not an unprimeable number, because it can be changed into a prime (13129927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135312 + ... + 135408.

It is an arithmetic number, because the mean of its divisors is an integer number (277368).

Almost surely, 2^13129920 is an apocalyptic number.

13129920 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 13129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

13129920 is an abundant number, since it is smaller than the sum of its proper divisors (33467904).

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

13129920 is a wasteful number, since it uses less digits than its factorization.

13129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13129920 is about 3623.5231474354. The cubic root of 13129920 is about 235.9141696885.

The spelling of 13129920 in words is "thirteen million, one hundred twenty-nine thousand, nine hundred twenty".