13767138 has 144 divisors (see below), whose sum is σ = 40027680. Its totient is φ = 3492720.

The previous prime is 13767137. The next prime is 13767139. The reversal of 13767138 is 83176731.

It is an interprime number because it is at equal distance from previous prime (13767137) and next prime (13767139).

It is a super-2 number, since 2×13767138² = 379068177422088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13767137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320145 + ... + 320187.

It is an arithmetic number, because the mean of its divisors is an integer number (277970).

Almost surely, 2^13767138 is an apocalyptic number.

13767138 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 13767138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20013840).

13767138 is an abundant number, since it is smaller than the sum of its proper divisors (26260542).

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

13767138 is a wasteful number, since it uses less digits than its factorization.

13767138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 13767138 is about 3710.4094113723. The cubic root of 13767138 is about 239.6704852906.

The spelling of 13767138 in words is "thirteen million, seven hundred sixty-seven thousand, one hundred thirty-eight".