13377120 has 144 divisors (see below), whose sum is σ = 45042480. Its totient is φ = 3333120.

The previous prime is 13377103. The next prime is 13377131. The reversal of 13377120 is 2177331.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431505 + ... + 431535.

It is an arithmetic number, because the mean of its divisors is an integer number (312795).

Almost surely, 2^13377120 is an apocalyptic number.

13377120 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 13377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521240).

13377120 is an abundant number, since it is smaller than the sum of its proper divisors (31665360).

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

13377120 is a wasteful number, since it uses less digits than its factorization.

13377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 13377120 is about 3657.4745385307. The cubic root of 13377120 is about 237.3855108386.

The spelling of 13377120 in words is "thirteen million, three hundred seventy-seven thousand, one hundred twenty".