137007838 has 16 divisors (see below), whose sum is σ = 224421120. Its totient is φ = 62213400.

The previous prime is 137007779. The next prime is 137007839. The reversal of 137007838 is 838700731.

It is a super-2 number, since 2×137007838² = 37542295346868488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137007797 and 137007806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137007839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24553 + ... + 29611.

It is an arithmetic number, because the mean of its divisors is an integer number (14026320).

Almost surely, 2^137007838 is an apocalyptic number.

137007838 is a deficient number, since it is larger than the sum of its proper divisors (87413282).

137007838 is a wasteful number, since it uses less digits than its factorization.

137007838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 137007838 is about 11705.0347286969. The cubic root of 137007838 is about 515.5235044943.

The spelling of 137007838 in words is "one hundred thirty-seven million, seven thousand, eight hundred thirty-eight".