137137842 has 12 divisors (see below), whose sum is σ = 297132030. Its totient is φ = 45712608.

The previous prime is 137137841. The next prime is 137137843. The reversal of 137137842 is 248731731.

It is an interprime number because it is at equal distance from previous prime (137137841) and next prime (137137843).

It can be written as a sum of positive squares in only one way, i.e., 103856481 + 33281361 = 10191^2 + 5769^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137137797 and 137137806.

It is not an unprimeable number, because it can be changed into a prime (137137841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3809367 + ... + 3809402.

Almost surely, 2^137137842 is an apocalyptic number.

137137842 is an abundant number, since it is smaller than the sum of its proper divisors (159994188).

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

137137842 is a wasteful number, since it uses less digits than its factorization.

137137842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618777 (or 7618774 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 137137842 is about 11710.5867487500. The cubic root of 137137842 is about 515.6865095988.

The spelling of 137137842 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, eight hundred forty-two".