137000112 has 40 divisors (see below), whose sum is σ = 361453056. Its totient is φ = 44694336.

The previous prime is 137000069. The next prime is 137000113. The reversal of 137000112 is 211000731.

137000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137000091 and 137000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28108 + ... + 32619.

Almost surely, 2^137000112 is an apocalyptic number.

137000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137000112 is an abundant number, since it is smaller than the sum of its proper divisors (224452944).

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

137000112 is a wasteful number, since it uses less digits than its factorization.

137000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60785 (or 60779 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 137000112 is about 11704.7046951215. The cubic root of 137000112 is about 515.5138140282.

Adding to 137000112 its reverse (211000731), we get a palindrome (348000843).

The spelling of 137000112 in words is "one hundred thirty-seven million, one hundred twelve", and thus it is an aban number.