13742112 has 48 divisors (see below), whose sum is σ = 36923040. Its totient is φ = 4472832.

The previous prime is 13742101. The next prime is 13742123. The reversal of 13742112 is 21124731.

It is an interprime number because it is at equal distance from previous prime (13742101) and next prime (13742123).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2464 + ... + 5792.

It is an arithmetic number, because the mean of its divisors is an integer number (769230).

Almost surely, 2^13742112 is an apocalyptic number.

13742112 is a gapful number since it is divisible by the number (12) 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 13742112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461520).

13742112 is an abundant number, since it is smaller than the sum of its proper divisors (23180928).

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

13742112 is a wasteful number, since it uses less digits than its factorization.

13742112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3377 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 13742112 is about 3707.0354732589. The cubic root of 13742112 is about 239.5251723084.

Adding to 13742112 its reverse (21124731), we get a palindrome (34866843).

It can be divided in two parts, 1374 and 2112, that added together give a triangular number (3486 = T₈₃).

The spelling of 13742112 in words is "thirteen million, seven hundred forty-two thousand, one hundred twelve".