137106242 has 64 divisors (see below), whose sum is σ = 275251200. Its totient is φ = 49688640.

The previous prime is 137106227. The next prime is 137106257. The reversal of 137106242 is 242601731.

It is an interprime number because it is at equal distance from previous prime (137106227) and next prime (137106257).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106559 + ... + 107837.

It is an arithmetic number, because the mean of its divisors is an integer number (4300800).

Almost surely, 2^137106242 is an apocalyptic number.

137106242 is an abundant number, since it is smaller than the sum of its proper divisors (138144958).

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

137106242 is a wasteful number, since it uses less digits than its factorization.

137106242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 137106242 is about 11709.2374644978. The cubic root of 137106242 is about 515.6468975188.

Adding to 137106242 its reverse (242601731), we get a palindrome (379707973).

The spelling of 137106242 in words is "one hundred thirty-seven million, one hundred six thousand, two hundred forty-two".