13752018 has 80 divisors (see below), whose sum is σ = 35939904. Its totient is φ = 3849120.

The previous prime is 13752017. The next prime is 13752019. The reversal of 13752018 is 81025731.

13752018 is a `hidden beast` number, since 137 + 520 + 1 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13752017) and next prime (13752019).

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

It is a junction number, because it is equal to n+sod(n) for n = 13751982 and 13752000.

It is not an unprimeable number, because it can be changed into a prime (13752017) 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 39 ways as a sum of consecutive naturals, for example, 75888 + ... + 76068.

Almost surely, 2^13752018 is an apocalyptic number.

13752018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969952).

13752018 is an abundant number, since it is smaller than the sum of its proper divisors (22187886).

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

13752018 is a wasteful number, since it uses less digits than its factorization.

13752018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

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

The square root of 13752018 is about 3708.3713406292. The cubic root of 13752018 is about 239.5827123832.

Adding to 13752018 its reverse (81025731), we get a palindrome (94777749).

The spelling of 13752018 in words is "thirteen million, seven hundred fifty-two thousand, eighteen".