13153920 has 256 divisors, whose sum is σ = 49351680. Its totient is φ = 2949120.

The previous prime is 13153919. The next prime is 13153927. The reversal of 13153920 is 2935131.

It is a happy number.

It is a super-2 number, since 2×13153920² = 346051222732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13153927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424305 + ... + 424335.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^13153920 is an apocalyptic number.

13153920 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 13153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

13153920 is an abundant number, since it is smaller than the sum of its proper divisors (36197760).

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

13153920 is a wasteful number, since it uses less digits than its factorization.

13153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 13153920 is about 3626.8333295039. The cubic root of 13153920 is about 236.0578236172.

The spelling of 13153920 in words is "thirteen million, one hundred fifty-three thousand, nine hundred twenty".