13740192 has 168 divisors, whose sum is σ = 44069760. Its totient is φ = 4199040.

The previous prime is 13740187. The next prime is 13740193. The reversal of 13740192 is 29104731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740193) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 443217 + ... + 443247.

It is an arithmetic number, because the mean of its divisors is an integer number (262320).

Almost surely, 2^13740192 is an apocalyptic number.

13740192 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 13740192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034880).

13740192 is an abundant number, since it is smaller than the sum of its proper divisors (30329568).

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

13740192 is an equidigital number, since it uses as much as digits as its factorization.

13740192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13740192 is about 3706.7764971738. The cubic root of 13740192 is about 239.5140165814.

The spelling of 13740192 in words is "thirteen million, seven hundred forty thousand, one hundred ninety-two".