137346138 has 32 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 45714240.

The previous prime is 137346137. The next prime is 137346149. The reversal of 137346138 is 831643731.

137346138 is a `hidden beast` number, since 1 + 3 + 7 + 34 + 613 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137346137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46131 + ... + 49017.

It is an arithmetic number, because the mean of its divisors is an integer number (9552060).

Almost surely, 2^137346138 is an apocalyptic number.

137346138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137346138 is an abundant number, since it is smaller than the sum of its proper divisors (168319782).

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

137346138 is a wasteful number, since it uses less digits than its factorization.

137346138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3773 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 137346138 is about 11719.4768654578. The cubic root of 137346138 is about 515.9474662580.

Adding to 137346138 its reverse (831643731), we get a palindrome (968989869).

The spelling of 137346138 in words is "one hundred thirty-seven million, three hundred forty-six thousand, one hundred thirty-eight".