13758120 has 64 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 3668544.

The previous prime is 13758103. The next prime is 13758127. The reversal of 13758120 is 2185731.

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

It is not an unprimeable number, because it can be changed into a prime (13758127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5290 + ... + 7449.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 2^13758120 is an apocalyptic number.

13758120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758120 is an abundant number, since it is smaller than the sum of its proper divisors (32105880).

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

13758120 is a wasteful number, since it uses less digits than its factorization.

13758120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13758120 is about 3709.1939825250. The cubic root of 13758120 is about 239.6181427599.

The spelling of 13758120 in words is "thirteen million, seven hundred fifty-eight thousand, one hundred twenty".