13742243136 has 112 divisors (see below), whose sum is σ = 42156278400. Its totient is φ = 4381572096.

The previous prime is 13742243111. The next prime is 13742243161. The reversal of 13742243136 is 63134224731.

13742243136 is a `hidden beast` number, since 1 + 374 + 224 + 31 + 36 = 666.

13742243136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13742243111) and next prime (13742243161).

It is a super-2 number, since 2×13742243136² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13742243136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133141 + ... + 212628.

Almost surely, 2^13742243136 is an apocalyptic number.

13742243136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13742243136 is an abundant number, since it is smaller than the sum of its proper divisors (28414035264).

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

13742243136 is a wasteful number, since it uses less digits than its factorization.

13742243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345813 (or 345797 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

Adding to 13742243136 its reverse (63134224731), we get a palindrome (76876467867).

The spelling of 13742243136 in words is "thirteen billion, seven hundred forty-two million, two hundred forty-three thousand, one hundred thirty-six".